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Toward gravitational lensing in modified theories of gravity
IF 5 2区 物理与天体物理
Physics of the Dark Universe Pub Date : 2025-02-01 DOI: 10.1016/j.dark.2024.101795
Ali Tizfahm , Saeed Fakhry , Javad T. Firouzjaee , Antonino Del Popolo
{"title":"Toward gravitational lensing in modified theories of gravity","authors":"Ali Tizfahm ,&nbsp;Saeed Fakhry ,&nbsp;Javad T. Firouzjaee ,&nbsp;Antonino Del Popolo","doi":"10.1016/j.dark.2024.101795","DOIUrl":"10.1016/j.dark.2024.101795","url":null,"abstract":"<div><div>In this study, we investigate gravitational lensing within modified gravity frameworks, focusing on the Hu–Sawicki <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> and normal branch Dvali–Gabadadze–Porrati (nDGP) models, and we compare these results with those obtained from general relativity (GR). Our results reveal that both modified gravity models consistently enhance key lensing parameters relative to GR, including the Einstein radius, lensing optical depth, and time delays. Notably, we find that the Hu–Sawicki <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> and nDGP models yield significantly larger Einstein radii and higher lensing probabilities, especially at greater redshifts, indicating an increased likelihood of lensing events under modified gravity. Our analysis of time delays further shows that the broader mass distributions in these frameworks lead to pronounced differences in high-mass lens systems, providing potential observational markers of modified gravity. Additionally, we observe amplified magnification factors in wave optics regimes, highlighting the potential for gravitational wave (GW) lensing to differentiate modified gravity effects from GR predictions. Through these findings, we propose modified gravity theories as compelling alternatives to GR in explaining cosmic phenomena, with promising implications for future high-precision gravitational lensing surveys.</div></div>","PeriodicalId":48774,"journal":{"name":"Physics of the Dark Universe","volume":"47 ","pages":"Article 101795"},"PeriodicalIF":5.0,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143156654","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Spacetime-curvature induced uncertainty principle: Linking the large-structure global effects to the local black hole physics
IF 5 2区 物理与天体物理
Physics of the Dark Universe Pub Date : 2025-02-01 DOI: 10.1016/j.dark.2025.101817
Reggie C. Pantig , Gaetano Lambiase , Ali Övgün , Nikko John Leo S. Lobos
{"title":"Spacetime-curvature induced uncertainty principle: Linking the large-structure global effects to the local black hole physics","authors":"Reggie C. Pantig ,&nbsp;Gaetano Lambiase ,&nbsp;Ali Övgün ,&nbsp;Nikko John Leo S. Lobos","doi":"10.1016/j.dark.2025.101817","DOIUrl":"10.1016/j.dark.2025.101817","url":null,"abstract":"<div><div>This paper links the advanced formulation of the Generalized Uncertainty Principle, termed the Asymptotic Generalized Extended Uncertainty Principle (AGEUP) to the corpuscular framework to derive the AGEUP-inspired black hole metric. The former incorporates spacetime curvature effects to explore black hole dynamics under quantum gravitational corrections, while the latter is a view that black holes are Bose–Einstein condensates of weakly interacting gravitons. AGEUP refines the traditional uncertainty relation by introducing curvature-based modifications that integrate the Ricci scalar and Cartan invariant, addressing the possible connection of the quantum uncertainties and gravitational influences in curved spacetimes. In particular, the phenomenological union between the AGEUP with cosmological constant <span><math><mi>Λ</mi></math></span> to the corpuscular framework enabled a black hole metric that has a scaled mass, which depends on <span><math><mi>Λ</mi></math></span> and the Planck length <span><math><msub><mrow><mi>l</mi></mrow><mrow><mi>Pl</mi></mrow></msub></math></span>. Interesting implications occur, such as the maximum limit for mass <span><math><mi>M</mi></math></span> where <span><math><mi>Λ</mi></math></span> ceases to influence the black hole. Another is the derived value of the modulation factor of the EUP term, <span><math><mi>α</mi></math></span>, if the large-scale fundamental length is defined solely as the cosmological horizon. We further analyze the black hole metric through the shadow and deflection angle phenomena, deriving constraints on the quantum gravity modulation parameter <span><math><mi>β</mi></math></span> that may be experimentally tested in future observations. Constraints from the Event Horizon Telescope (EHT) and Very Long Baseline Interferometry (VLBI) are discussed as avenues for verifying AGEUP-related deviations in black hole shadow radius and deflection angles, offering potential observational evidence of quantum gravitational effects at astrophysical scales. The findings suggest that AGEUP could be instrumental in providing hints on the quantum gravity nature of black holes, particularly in high-energy astrophysical contexts. By linking local black hole physics with large-scale curvature effects, AGEUP paves the way for further research at the intersection of quantum gravity and cosmology, with implications for observational astrophysics and the fundamental structure of spacetime.</div></div>","PeriodicalId":48774,"journal":{"name":"Physics of the Dark Universe","volume":"47 ","pages":"Article 101817"},"PeriodicalIF":5.0,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143156801","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Observational constraints on the expansion scalar and shear relation in the Locally rotationally symmetric Bianchi I model
IF 5 2区 物理与天体物理
Physics of the Dark Universe Pub Date : 2025-02-01 DOI: 10.1016/j.dark.2024.101798
A. Singh , S. Mandal , R. Chaubey , R. Raushan
{"title":"Observational constraints on the expansion scalar and shear relation in the Locally rotationally symmetric Bianchi I model","authors":"A. Singh ,&nbsp;S. Mandal ,&nbsp;R. Chaubey ,&nbsp;R. Raushan","doi":"10.1016/j.dark.2024.101798","DOIUrl":"10.1016/j.dark.2024.101798","url":null,"abstract":"<div><div>We consider the universe composed of radiation, matter, and vacuum energy in the axially symmetric Bianchi I spacetime background. In this framework, the assumption ‘shear scalar proportional to the expansion scalar’ leading to a relation between directional scale factors has been probed for its observational compatibility with the data of different origins. The phase space of the model parameters is determined through the Bayesian Monte Carlo method. The precise observational bounds on parameters including <span><math><mi>n</mi></math></span> have been obtained with the cosmic chronometer, baryonic acoustic oscillations, cosmic microwave background, and the Supernovae Ia Pantheon data. The results are then compared with the results obtained by using the Pantheon+SH0ES data and the combined data sets. The deviations of <span><math><mi>n</mi></math></span> from unity change the cosmic dynamics during the early and late time universe also, as compared to the <span><math><mi>Λ</mi></math></span> cold dark matter model. We also discuss the information criterion in the model.</div></div>","PeriodicalId":48774,"journal":{"name":"Physics of the Dark Universe","volume":"47 ","pages":"Article 101798"},"PeriodicalIF":5.0,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143155700","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Imprints of quantum gravity on periastron precession and trajectories around a black hole
IF 5 2区 物理与天体物理
Physics of the Dark Universe Pub Date : 2025-02-01 DOI: 10.1016/j.dark.2024.101787
Asifa Ashraf , Abdelmalek Bouzenada , S.K. Maurya , Farruh Atamurotov , Phongpichit Channuie , Assmaa Abd-Elmonem , Nesreen Sirelkhtam Elmki Abdalla
{"title":"Imprints of quantum gravity on periastron precession and trajectories around a black hole","authors":"Asifa Ashraf ,&nbsp;Abdelmalek Bouzenada ,&nbsp;S.K. Maurya ,&nbsp;Farruh Atamurotov ,&nbsp;Phongpichit Channuie ,&nbsp;Assmaa Abd-Elmonem ,&nbsp;Nesreen Sirelkhtam Elmki Abdalla","doi":"10.1016/j.dark.2024.101787","DOIUrl":"10.1016/j.dark.2024.101787","url":null,"abstract":"<div><div>We investigate the motion of test particles around a spherically symmetric, non-rotating black hole within the framework of quantum gravity, emphasizing the impact of model parameters on particle dynamics. The black hole is characterized by its mass <span><math><mi>M</mi></math></span> and two dimensionless parameters, <span><math><mi>α</mi></math></span> and <span><math><mi>β</mi></math></span>. Using the effective potential method, we analyze the stability of circular orbits and derive analytical expressions for the energy and angular momentum of test particles as functions of the black hole parameters. Additionally, we examine effective forces, determine the innermost stable circular orbits, and numerically integrate the equations of motion to study diverse particle trajectories. Analytical formulas for radial, vertical, and orbital frequencies, as well as the periastron precession frequency, are found from the exploration of epicyclic oscillations close to the equatorial plane. Lastly, we determine the center-of-mass energy for particle collisions close to the black hole horizon. Our results provide insights into the interaction between quantum gravity effects and black hole dynamics, explaining the substantial influence of <span><math><mi>α</mi></math></span> and <span><math><mi>β</mi></math></span> on particle motion.</div></div>","PeriodicalId":48774,"journal":{"name":"Physics of the Dark Universe","volume":"47 ","pages":"Article 101787"},"PeriodicalIF":5.0,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143100680","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mutual influence of photon sphere and non-commutative parameter in various non-commutative black holes: Towards evidence for WGC
IF 5 2区 物理与天体物理
Physics of the Dark Universe Pub Date : 2025-02-01 DOI: 10.1016/j.dark.2025.101814
Mohammad Ali S. Afshar, Jafar Sadeghi
{"title":"Mutual influence of photon sphere and non-commutative parameter in various non-commutative black holes: Towards evidence for WGC","authors":"Mohammad Ali S. Afshar,&nbsp;Jafar Sadeghi","doi":"10.1016/j.dark.2025.101814","DOIUrl":"10.1016/j.dark.2025.101814","url":null,"abstract":"<div><div>Non-commutative black holes (NCBH), due to the non-commutativity of spacetime coordinates, lead to a modification of the spacetime metric. By replacing the Dirac delta function with a Gaussian distribution, the mass is effectively smeared, eliminating point-like singularities. Our objective is to investigate the impact of this change on spacetime geodesics, including photon spheres and time-like orbits. We will demonstrate how the photon sphere can serve as a tool to classify spacetime, illustrating the influence of the NC parameter and constraining its values in various modes of these black holes. Additionally, using this classification, we will show how the addition of the nonlinear Einstein–Born–Infeld (BI) field to the model enhances its physical alignment with reality compared to the charged model. In the dS BI model, we will show how the study of the effective potential and photon sphere can provide insights into the initial structural status of the model, thereby establishing this potential as an effective tool for examining the initial conditions of black holes. Finally, by examining super-extremality conditions, we will show that the AdS BI model, with the necessary conditions, can be a suitable candidate for studying and observing the effects of the Weak Gravity Conjecture (WGC).</div></div>","PeriodicalId":48774,"journal":{"name":"Physics of the Dark Universe","volume":"47 ","pages":"Article 101814"},"PeriodicalIF":5.0,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143100683","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Effects of nonlinear interactions on phase portraits and dynamical stability in specific modified gravity
IF 5 2区 物理与天体物理
Physics of the Dark Universe Pub Date : 2025-02-01 DOI: 10.1016/j.dark.2024.101781
Muhammad Usman , Abdul Jawad , Mohammad Mahtab Alam , Sanjar Shaymatov
{"title":"Effects of nonlinear interactions on phase portraits and dynamical stability in specific modified gravity","authors":"Muhammad Usman ,&nbsp;Abdul Jawad ,&nbsp;Mohammad Mahtab Alam ,&nbsp;Sanjar Shaymatov","doi":"10.1016/j.dark.2024.101781","DOIUrl":"10.1016/j.dark.2024.101781","url":null,"abstract":"<div><div>Dynamical system analysis is a vital mathematical mechanism for the qualitative study of dynamical models. Cosmological equations governing the dynamics of an isotropic and homogeneous Universe imply dynamical models in the form of differential equations. In the present article, we formulate four models with nonlinear interactions in the theoretical framework of deformed Hořava–Liftshitz and apply the dynamical system analysis to these models to investigate their dynamical stability with phase portraits. Phase portrait trajectories identify the stable steady states for each model, we compute different cosmic parameters at these stable critical points and compare it with the latest observational cosmic data. We find our outcomes are consistent with recent comic observational data, this implies that the theoretical framework under consideration with nonlinear interactions is consistent with current accelerating scenario of the Universe.</div></div>","PeriodicalId":48774,"journal":{"name":"Physics of the Dark Universe","volume":"47 ","pages":"Article 101781"},"PeriodicalIF":5.0,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143095539","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multi-field TDiff theories for cosmology
IF 5 2区 物理与天体物理
Physics of the Dark Universe Pub Date : 2025-02-01 DOI: 10.1016/j.dark.2024.101769
Diego Tessainer, Antonio L. Maroto, Prado Martín-Moruno
{"title":"Multi-field TDiff theories for cosmology","authors":"Diego Tessainer,&nbsp;Antonio L. Maroto,&nbsp;Prado Martín-Moruno","doi":"10.1016/j.dark.2024.101769","DOIUrl":"10.1016/j.dark.2024.101769","url":null,"abstract":"<div><div>We consider theories which break the invariance under diffeomorphisms (Diff) down to transverse diffeomorphisms (TDiff) in the matter sector, consisting of multiple scalar fields. In particular, we regard shift-symmetric models with two free TDiff scalar fields in a flat Robertson-Walker spacetime (FLRW) and use the perfect fluid approach to study their dynamics. As a consequence of the symmetry breaking, an effective interaction between the fields is induced from the conservation of the total energy–momentum tensor, without the necessity to introduce any explicit interacting term in the Lagrangian. We study the different single-field domination regimes and analyze the energy exchange between the fields. Thereupon, we introduce an application of these models for the description of interactions in the dark sector, and compare the theoretical predictions of our model to observational data from Type Ia supernovae.</div></div>","PeriodicalId":48774,"journal":{"name":"Physics of the Dark Universe","volume":"47 ","pages":"Article 101769"},"PeriodicalIF":5.0,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143099707","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A generalized solution for anisotropic compact star model in F(Q) gravity
IF 5 2区 物理与天体物理
Physics of the Dark Universe Pub Date : 2025-02-01 DOI: 10.1016/j.dark.2024.101764
Jitendra Kumar , Sat Paul , S.K. Maurya , Sourav Chaudhary , Sweeti Kiroriwal
{"title":"A generalized solution for anisotropic compact star model in F(Q) gravity","authors":"Jitendra Kumar ,&nbsp;Sat Paul ,&nbsp;S.K. Maurya ,&nbsp;Sourav Chaudhary ,&nbsp;Sweeti Kiroriwal","doi":"10.1016/j.dark.2024.101764","DOIUrl":"10.1016/j.dark.2024.101764","url":null,"abstract":"<div><div>In this work, we investigate an anisotropic compact star’s physical properties and stability in <span><math><mrow><mi>F</mi><mrow><mo>(</mo><mi>Q</mi><mo>)</mo></mrow></mrow></math></span> gravity. The study focuses on the significance of <span><math><mrow><mi>F</mi><mrow><mo>(</mo><mi>Q</mi><mo>)</mo></mrow></mrow></math></span> gravity on the structure and stability of compact star, considering non-perfect fluid. Buchdahl ansatz along with transformation used to solve the Einstein field equations. We investigate the physical parameters of the 4U1820-30 compact star using a static spherical metric in the interior region and a Schwarzschild (anti) de-sitter metric in the exterior region. We investigate the behaviour of energy density(<span><math><mi>ρ</mi></math></span>), radial pressure(<span><math><msub><mrow><mi>p</mi></mrow><mrow><mi>r</mi></mrow></msub></math></span>), tangential pressure(<span><math><msub><mrow><mi>p</mi></mrow><mrow><mi>t</mi></mrow></msub></math></span>), anisotropy(<span><math><mi>Δ</mi></math></span>), metric potentials, energy state parameter and energy requirements in the interior of the proposed stellar object. The equilibrium state of this star is analysed using the Tolman–Oppenheimer–Volkoff(TOV) equation and their stability is determined using the Necessary and physical existence requirements , causality condition, Harrison-Zeldovich-Novikov condition, the adiabatic index(<span><math><mi>Γ</mi></math></span>) method and Herrera cracking method.</div></div>","PeriodicalId":48774,"journal":{"name":"Physics of the Dark Universe","volume":"47 ","pages":"Article 101764"},"PeriodicalIF":5.0,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143100013","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Chebyshev cosmography in the framework of extended symmetric teleparallel theory
IF 5 2区 物理与天体物理
Physics of the Dark Universe Pub Date : 2025-02-01 DOI: 10.1016/j.dark.2024.101759
Sai Swagat Mishra , N.S. Kavya , P.K. Sahoo , V. Venkatesha
{"title":"Chebyshev cosmography in the framework of extended symmetric teleparallel theory","authors":"Sai Swagat Mishra ,&nbsp;N.S. Kavya ,&nbsp;P.K. Sahoo ,&nbsp;V. Venkatesha","doi":"10.1016/j.dark.2024.101759","DOIUrl":"10.1016/j.dark.2024.101759","url":null,"abstract":"<div><div>Cosmography has been extensively utilized to constrain the kinematic state of the Universe using measured distances. In this work, we propose a new method to reconstruct coupling theories using the first kind of Chebyshev polynomial for two variables in which the functional form of the <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>Q</mi><mo>,</mo><mi>T</mi><mo>)</mo></mrow></mrow></math></span> theory has been obtained. Further, the unknowns that appeared in the series are constrained using the cosmographic parameters. We find the explicit form of the luminosity distance in terms of cosmographic parameters to perform MCMC analysis using the PANTHEON+SH0ES data set. Through the distance modulus function, we observe that the result comes out to be an excellent match to the standard cosmological model and data.</div></div>","PeriodicalId":48774,"journal":{"name":"Physics of the Dark Universe","volume":"47 ","pages":"Article 101759"},"PeriodicalIF":5.0,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143100017","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
General isotropic charged fluid spheres within the matter coupling gravity formalism
IF 5 2区 物理与天体物理
Physics of the Dark Universe Pub Date : 2025-02-01 DOI: 10.1016/j.dark.2024.101726
M.R. Shahzad , Wajiha Habib , Asifa Ashraf , Faisal Javed , Awatef Abidi , Maha Alammari , Ali M. Mubaraki
{"title":"General isotropic charged fluid spheres within the matter coupling gravity formalism","authors":"M.R. Shahzad ,&nbsp;Wajiha Habib ,&nbsp;Asifa Ashraf ,&nbsp;Faisal Javed ,&nbsp;Awatef Abidi ,&nbsp;Maha Alammari ,&nbsp;Ali M. Mubaraki","doi":"10.1016/j.dark.2024.101726","DOIUrl":"10.1016/j.dark.2024.101726","url":null,"abstract":"&lt;div&gt;&lt;div&gt;In this paper, we proposed a new mathematical model of charged isotropic compact relativistic object in the &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;T&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; gravity. In the &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;T&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; framework, the gravitational action involves the trace of the energy–momentum tensor &lt;span&gt;&lt;math&gt;&lt;mi&gt;T&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; and the Ricci scalar &lt;span&gt;&lt;math&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;. We choose a specific &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;T&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; framework such that &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;T&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mi&gt;χ&lt;/mi&gt;&lt;mi&gt;T&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, in which &lt;span&gt;&lt;math&gt;&lt;mi&gt;χ&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; represents the coupling parameter, which is responsible for measuring the deviation from the standard Einstein’s general theory of relativity (GR). A short overview of the modified &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;T&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; gravity theory is presented and the field equations are formulated in this novel modified gravity. It is shown that for a specific limit of the coupling parameter, the standard &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;G&lt;/mi&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; can be restored from the considered &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;T&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; model. We modeled, mathematically, a specific charged compact star &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;X&lt;/mi&gt;&lt;mi&gt;T&lt;/mi&gt;&lt;mi&gt;E&lt;/mi&gt;&lt;mi&gt;J&lt;/mi&gt;&lt;mn&gt;1739&lt;/mn&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mn&gt;217&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; (M=1.51&lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;M&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;⨀&lt;/mo&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt;, R=10.9 km), within the &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;T&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; extended gravity theory framework by taking benefit from the well studied Heintzmann IIa ansatz [H. Heintzmann, Z. Physik 228, 489–493 (1969)]. To examine the reliability and physical plausibility of Our model, different physical characteristics such as the energy density and pressure, electric field, energy conditions, stability analysis via Herrara cracking technique and the adiabatic index, equilibrium conditions under different forces, mass–radius relationship, compactness and surface red-shift are studied carefully, which are essential for confirming the model’s physical feasibility. The mathematically established results are more accurately represented by graphical illustrations for the various chosen values of the coupling parameter &lt;span&gt;&lt;math&gt;&lt;mi&gt;χ&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;. In this study, we also compared our findings with the standard GR results and the observational facts, and we inferred that for nonzero values of the coupling parameter, &lt;span&gt;&lt;math&gt;&lt;mi&gt;χ&lt;/mi&gt;&lt;/math&gt;&lt;/span","PeriodicalId":48774,"journal":{"name":"Physics of the Dark Universe","volume":"47 ","pages":"Article 101726"},"PeriodicalIF":5.0,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143100058","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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