Gaurav Bhandari, S. D. Pathak, Manabendra Sharma, Anzhong Wang
{"title":"GUP deformed background dynamics of phantom field","authors":"Gaurav Bhandari, S. D. Pathak, Manabendra Sharma, Anzhong Wang","doi":"10.1007/s10714-024-03324-7","DOIUrl":"10.1007/s10714-024-03324-7","url":null,"abstract":"<div><p>Quantum gravity has been baffling the theoretical physicist for decades now, both for its mathematical obscurity and phenomenological testing. Nevertheless, the new era of precision cosmology presents a promising avenue to test the effects of quantum gravity. In this study, we consider a bottom-up approach. Without resorting to any candidate quantum gravity, we invoke a generalized uncertainty principle (GUP) directly into the cosmological Hamiltonian for a universe sourced by a phantom scalar field with potential to study the evolution of the universe in a very early epoch. This is followed by a systematic analysis of the dynamics, both qualitatively and quantitatively. Our qualitative analysis shows that the introduction of GUP significantly alters the existence of fixed points for the potential considered in this paper. In addition, we confirm the existence of an inflationary phase and analyze the behavior of relevant cosmological parameters with respect to the strength of the GUP distortion.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"56 11","pages":""},"PeriodicalIF":2.1,"publicationDate":"2024-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142642577","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
{"title":"Role of dynamical vacuum energy in the closed universe: implications for bouncing scenario","authors":"Ashutosh Singh","doi":"10.1007/s10714-024-03325-6","DOIUrl":"10.1007/s10714-024-03325-6","url":null,"abstract":"<div><p>We consider a homogeneous and isotropic spacetime having a space of positive curvature and study the cosmic evolution of dynamical vacuum energy. We utilize the dynamical system technique to study the existence of fixed points and their corresponding stability in model. The corresponding cosmological solutions describe late-time accelerating universe having decelerating era composed of radiation and matter-dominated phase. The numerical integration of autonomous system reveals that the cosmological solutions of dynamical vacuum energy model may describe the cosmic history of universe. As a consequence of the dynamical vacuum energy in closed Friedmann-Robertson-Walker model, the trajectories between fixed points in the phase space would also correspond to the bouncing and turnaround universe evolution.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"56 11","pages":""},"PeriodicalIF":2.1,"publicationDate":"2024-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142610311","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
{"title":"Probing naked singularities in the charged and uncharged (gamma - metrics) with quantum wave packets","authors":"Ozay Gurtug, Mustafa Halilsoy, Mert Mangut","doi":"10.1007/s10714-023-03146-z","DOIUrl":"10.1007/s10714-023-03146-z","url":null,"abstract":"<div><p>The non-trivial naked singularities that possess directional behavior in the charged and uncharged Zipoy-Voorhees (ZV) spacetimes, known as <span>( gamma - metrics )</span> are investigated within the context of quantum mechanics. Classically singular spacetime is understood as a geodesic incompleteness with respect to a particle probe, while quantum singularity is understood as a non-unique evolution of test quantum wave packets. In this study, quantum wave packets obeying Klein–Gordon equation are used to probe timelike naked singularities. It is shown by rigorous mathematical calculations that the outermost singularity developed in the charged and uncharged ZV spacetime on the equatorial plane is quantum mechanically singular for all values of the deformation parameter <span>(gamma )</span>. However, directional singularities that develop on the symmetry axis is shown to be healed partially for specific range of the parameter <span>(gamma )</span>, if the analysis is restricted purposely to only specific mode (s-wave mode). Allowing arbitrary modes, classical directional singularities remains quantum singular.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"55 9","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4063744","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
{"title":"Dissipative properties of relativistic fluids in a general curved space–time","authors":"A. L. García-Perciante, A. R. Méndez","doi":"10.1007/s10714-023-03137-0","DOIUrl":"10.1007/s10714-023-03137-0","url":null,"abstract":"<div><p>Dissipative force–flux relations are established in a strict covariant fashion for a relativistic fluid in a general curved space–time within the framework of kinetic theory. The Boltzmann equation is addressed to first order in the gradients by employing the Chapman–Enskog expansion and the corresponding constitutive equations are derived by considering a relaxation approximation. It is shown that in the heat flux, only the corresponding transport coefficient is modified when the gradients of the state variables are considered as the thermodynamic forces. On the other hand, the viscous terms features new driving terms due to the curvature of space–time that only vanish in particular cases.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"55 8","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4448872","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
Zinnat Hassan, Sayantan Ghosh, P. K. Sahoo, V. Sree Hari Rao
{"title":"GUP corrected Casimir wormholes in f(Q) gravity","authors":"Zinnat Hassan, Sayantan Ghosh, P. K. Sahoo, V. Sree Hari Rao","doi":"10.1007/s10714-023-03139-y","DOIUrl":"10.1007/s10714-023-03139-y","url":null,"abstract":"<div><p>We have systematically presented the effect of the generalized uncertainty principle (GUP) in Casimir wormhole space-time in the recently proposed modified gravity, the so-called symmetric teleparallel gravity, or <i>f</i>(<i>Q</i>) gravity. We consider two famous GUP models, such as the Kempf, Mangano, and Mann (KMM) model and the Detournay, Gabriel, and Spindel (DGS) model, in this study. Also, to find the solutions, we assumed two different <i>f</i>(<i>Q</i>) forms and obtained analytic as well as numerical solutions under the effect of GUP. Besides this, we investigate the solutions with three different redshift functions under an anisotropic fluid located at the throat. Further, we analyzed the obtained wormhole solutions with energy conditions, especially null energy conditions at the wormhole’s throat, and encountered that some arbitrary quantity disrespects the classical energy conditions at the wormhole throat of radius <span>(r_0)</span>. Later, the ADM mass and the volume integral quantifier are also discussed to calculate the amount of exotic matter required near the wormhole throat. Additionally, we show the behavior of the equation of state parameters under the effect of GUP.\u0000</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"55 8","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4414064","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
{"title":"String-like brane splitting in the context of (f(T,mathcal {B})) gravity","authors":"A. R. P. Moreira, C. A. S. Almeida","doi":"10.1007/s10714-023-03136-1","DOIUrl":"10.1007/s10714-023-03136-1","url":null,"abstract":"<div><p>In this work, the influence of the boundary term <span>(mathcal {B})</span> is analyzed in a string-like thick brane scenario in the gravity context <span>(f(T,mathcal {B}))</span>. For that, three models of <span>(f(T,mathcal {B}))</span> are proposed, i. e., <span>(f_1(T,mathcal {B})=T+kmathcal {B}^{n})</span>, <span>(f_2(T,mathcal {B})=T+k(-T+mathcal { B})^{n})</span> and <span>(f_3(T,mathcal {B})=T+k_1T^2+k_2mathcal {B}^2)</span>, where <i>n</i>, <i>k</i> and <span>(k_{1,2})</span> are parameters that control the deviation from the usual teleparallelism. The first relevant result obtained was the appearance of a super-located tower in the core for energy density. Furthermore, the greater the influence of the boundary term, the new maximums and minimums appear in the energy density. All this indicates the emergence of capable structures from split to the brane. The second relevant result was obtained by analyzing the gravitational perturbations, where the effective potential presents the supersymmetric form of quantum mechanics, leading to well-localized massless modes.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"55 8","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5179626","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
{"title":"Solutions of a charged scalar field in five-dimensional helicoid solution with electromagnetic field","authors":"Tolga Birkandan","doi":"10.1007/s10714-023-03134-3","DOIUrl":"10.1007/s10714-023-03134-3","url":null,"abstract":"<div><p>We study a charged and massive scalar field in the background of the Nutku-Ghezelbash-Kumar metric which is obtained by the addition of a time coordinate to the Nutku helicoid metric in a non-trivial way. The angular part of the Klein-Gordon equation can be written as a double confluent Heun equation. The radial equation cannot be solved in terms of a known function in its general form. However, in some special cases, the radial equation can also be written explicitly as a double confluent Heun equation. We study the full radial equation numerically and observe that the electromagnetic field parameter defines an effective cut-off on the range of the radial coordinate. Finally, we obtain a quasi-exact solution with an approximation.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"55 8","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5477499","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
{"title":"Cosmological solutions through gravitational decoupling in (f({mathcal {R}},{mathcal {T}},{mathcal {R}}_{textrm{ab}}{mathcal {T}}^{textrm{ab}})) gravity","authors":"M. Sharif, Tayyab Naseer","doi":"10.1007/s10714-023-03135-2","DOIUrl":"10.1007/s10714-023-03135-2","url":null,"abstract":"<div><p>In this paper, we adopt minimal gravitational decoupling scheme to extend a non-static spherically symmetric isotropic composition to anisotropic interior in <span>(f({mathcal {R}},{mathcal {T}},{mathcal {R}}_{textrm{ab}}{mathcal {T}}^{textrm{ab}}))</span> theory. A geometric deformation is applied only on <span>(g_{rr})</span> metric component through which the modified field equations are separated into two sets, each of them correspond to their parent (seed and newly added) source. An isotropic model suggested by the Friedmann–Lemaitre–Robertson–Walker metric is adopted to reduce the unknowns in the first set. We then obtain an isotropic solution by making use of a linear equation of state and a particular form of the scale factor. A density-like constraint is chosen to solve the other sector containing the deformation function and multiple components of an additional matter source. Further, the graphical interpretation of the developed model is carried out to analyze how a decoupling parameter and modified gravity influence the evolutionary phases of the universe. It is concluded that only the radiation-dominated era meets stability criteria everywhere in this matter-geometry coupled theory.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"55 8","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5042758","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
{"title":"Higgs phonon: conformal phonon and Hawking temperature in a two-dimensional acoustic black hole model","authors":"Jun Yan","doi":"10.1007/s10714-023-03133-4","DOIUrl":"10.1007/s10714-023-03133-4","url":null,"abstract":"<div><p>The present study investigates the coupling of the hyperbolic potential and conformal Liouville potential to the phonon field in two-dimensional gravity. The specific values of the horizon coordinate, Hawking temperature, phonon mass, and fluid velocity were calculated, and the change in physical quantities with the field coefficient <span>(delta)</span> and central charge <i>c</i> was discussed. In the hyperbolic potential model, it was found that the phonon was very similar to the Higgs particle. The size of the horizon was 10 µm, the magnitude of the Hawking temperature was 1 nK, the magnitude of the fluid velocity was 1 mm/s, and the magnitude of the Higgs phonon mass was between 10<sup>–8</sup> eV and 10<sup>–7</sup> eV. In the conformal Liouville model, it was found that the variation trend of each physical quantity in the different branches was opposite, the size of the horizon was 10 µm, the magnitude of the Hawking temperature was between 0.1 and 1.0 nK, the magnitude of the fluid velocity was 1 mm/s, and the magnitude of the conformal phonon mass was 10<sup>–7</sup> eV. The calculation results of the present study were basically consistent with the results obtained by Barcelo and Steinhauer et al., but completely different physical models and new calculation methods were used.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"55 7","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4760988","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
{"title":"Fluid nature constrains Horndeski gravity","authors":"Marcello Miranda, Daniele Vernieri, Salvatore Capozziello, Valerio Faraoni","doi":"10.1007/s10714-023-03128-1","DOIUrl":"10.1007/s10714-023-03128-1","url":null,"abstract":"<div><p>The elusive physical nature of Horndeski gravity is elucidated in a new approach depicting this class of theories as a dissipative effective fluid. Requiring the constitutive equations of the latter to be those of a Newtonian fluid restricts the theory to only two disconnected subclasses of “viable” Horndeski gravity. Therefore, a stress-energy tensor of the Horndeski effective fluid, linear in the first derivatives of the fluid’s 4-velocity, is a sufficient condition for gravitational waves to propagate at light speed. All other Horndeski theories correspond to exotic non-Newtonian effective fluids. The two linear Horndeski classes are studied in the framework of first-order thermodynamics of viscous fluids, which further constrains the functional form of the theory.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"55 7","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-023-03128-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4389928","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}