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Understanding curvature–matter interaction in viable f(R) dark energy models: A dynamical analysis approach 理解可行的f(R)暗能量模型中的曲率-物质相互作用：一种动力学分析方法
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-04-15 DOI: 10.1016/j.aop.2025.170036
Anirban Chatterjee, Yungui Gong
{"title":"Understanding curvature–matter interaction in viable f(R) dark energy models: A dynamical analysis approach","authors":"Anirban Chatterjee,&nbsp;Yungui Gong","doi":"10.1016/j.aop.2025.170036","DOIUrl":"10.1016/j.aop.2025.170036","url":null,"abstract":"<div><div>We employ a linear stability analysis approach to explore the dynamics of matter and curvature-driven dark energy interactions within the framework of two types of viable <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> gravity models. The interaction is modeled via a source term in the continuity equations, <span><math><mrow><mi>Q</mi><mo>=</mo><mi>α</mi><msub><mrow><mover><mrow><mi>ρ</mi></mrow><mrow><mo>̃</mo></mrow></mover></mrow><mrow><mi>m</mi></mrow></msub><mrow><mo>(</mo><mrow><mfrac><mrow><mn>3</mn><msup><mrow><mi>H</mi></mrow><mrow><mn>3</mn></mrow></msup></mrow><mrow><msup><mrow><mi>κ</mi></mrow><mrow><mn>2</mn></mrow></msup><msub><mrow><mi>ρ</mi></mrow><mrow><mi>curv</mi></mrow></msub></mrow></mfrac><mo>+</mo><mfrac><mrow><msup><mrow><mi>κ</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow><mrow><mn>3</mn><mi>H</mi></mrow></mfrac><msub><mrow><mi>ρ</mi></mrow><mrow><mi>curv</mi></mrow></msub></mrow><mo>)</mo></mrow></mrow></math></span>. Our results reveal significant modifications to the fixed points and their stability criteria compared to traditional <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> gravity analyses without matter–curvature coupling. We identify constraints on model and coupling parameters necessary for critical point stability, illustrating how the interaction influences cosmic dynamics within specific parameter ranges. The findings are consistent with observed cosmic evolution, supporting stable late-time acceleration. Moreover, we highlight the coupling parameter’s potential role in addressing the cosmic coincidence problem.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"478 ","pages":"Article 170036"},"PeriodicalIF":3.0,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143845256","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
A generalized Plebański-Demiański metric for non-vacuum stationary axisymmetric type D spacetime 非真空静止轴对称型D时空的广义Plebański-Demiański度规
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-04-15 DOI: 10.1016/j.aop.2025.170030
Hiroaki Nakajima , Ya Guo , Wenbin Lin
{"title":"A generalized Plebański-Demiański metric for non-vacuum stationary axisymmetric type D spacetime","authors":"Hiroaki Nakajima ,&nbsp;Ya Guo ,&nbsp;Wenbin Lin","doi":"10.1016/j.aop.2025.170030","DOIUrl":"10.1016/j.aop.2025.170030","url":null,"abstract":"<div><div>We study an stationary axisymmetric type D metric with the additional condition such that two real null tetrads are geodesic and shearfree, but without the vacuum or electrovacuum condition, neither asymptotic flatness assumption. We show that by choosing the coordinates appropriately, we obtain a generalization of the Plebański-Demiański (PD) metric. We also confirm how this metric naturally reduces to the original PD one by requiring the electrovacuum condition.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"478 ","pages":"Article 170030"},"PeriodicalIF":3.0,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143845257","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
n-dimensional Weyl conformal tensor in a four-index gravitational field theory 四指标引力场理论中的n维Weyl共形张量
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-04-13 DOI: 10.1016/j.aop.2025.170026
Frédéric Moulin
{"title":"n-dimensional Weyl conformal tensor in a four-index gravitational field theory","authors":"Frédéric Moulin","doi":"10.1016/j.aop.2025.170026","DOIUrl":"10.1016/j.aop.2025.170026","url":null,"abstract":"<div><div>The Weyl conformal tensor is the traceless component of the Riemann tensor and therefore, as is known, the information it contains does not appear explicitly in Einstein’s equation. Following a rigorous mathematical treatment based on the variational principle, we will suggest that there exists a four-index gravitational field equation linearly containing the Weyl tensor closely related to a tidal gravitational field tensor whose components will be calculated. The new degrees of freedom, introduced via the <em>n</em>-dimensional Weyl tensor, will therefore clearly appear as additional constraints on the metric and we will demonstrate, among other things, that the cosmological constant appears as a natural solution of the four-index theory in the form of an integration constant which therefore does not need to be introduced ad hoc into a Lagrangian.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"478 ","pages":"Article 170026"},"PeriodicalIF":3.0,"publicationDate":"2025-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143833792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
A constraint-preserving neural network approach for mean-field games equilibria 平均场博弈均衡的约束保持神经网络方法
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-04-12 DOI: 10.1016/j.aop.2025.170027
Jinwei Liu , Lu Ren , Wang Yao , Xiao Zhang
{"title":"A constraint-preserving neural network approach for mean-field games equilibria","authors":"Jinwei Liu ,&nbsp;Lu Ren ,&nbsp;Wang Yao ,&nbsp;Xiao Zhang","doi":"10.1016/j.aop.2025.170027","DOIUrl":"10.1016/j.aop.2025.170027","url":null,"abstract":"<div><div>Neural network-based methods have demonstrated effectiveness in solving high-dimensional Mean-Field Games (MFG) equilibria, yet ensuring mathematically consistent density-coupled evolution remains a major challenge. This paper proposes the NF-MKV Net, a neural network approach that integrates process-regularized normalizing flow (NF) with state-policy-connected time-series neural networks to solve MKV FBSDEs and their associated fixed-point formulations of MFG equilibria. The method first reformulates MFG equilibria as MKV FBSDEs, embedding density evolution into the equation coefficients within a probabilistic framework. Neural networks are then employed to approximate value functions and their gradients. To enforce volumetric invariance and temporal continuity, NF architectures impose loss constraints on each density transfer function. Theoretical analysis establishes the algorithm’s validity, while numerical experiments across various scenarios including traffic flow, crowd motion, and obstacle avoidance, demonstrate its capability in maintaining density consistency and temporal smoothness.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"478 ","pages":"Article 170027"},"PeriodicalIF":3.0,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143833791","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Stellar structure and stability in f(R) gravity: An analysis with the Karmarkar condition f(R)引力下的恒星结构和稳定性：利用卡尔马卡条件的分析
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-04-11 DOI: 10.1016/j.aop.2025.170032
Daud Ahmad, Um-e-Hafsa Asif, Maham Ilyas
{"title":"Stellar structure and stability in f(R) gravity: An analysis with the Karmarkar condition","authors":"Daud Ahmad,&nbsp;Um-e-Hafsa Asif,&nbsp;Maham Ilyas","doi":"10.1016/j.aop.2025.170032","DOIUrl":"10.1016/j.aop.2025.170032","url":null,"abstract":"<div><div>We derive the EFEs for <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> gravity within a spherically symmetric static spacetime, which allows us to determine the radial pressure, density and tangential pressure, as well as the stress–energy tensor for anisotropic compact stellar objects. The metric coefficients of the spherically symmetric static spacetime are determined using the Karmarkar condition (a constraint on the Riemann curvature tensor) specifically for the Carroll-Duvvuri-Trodden (CDT) model. The unknown metric coefficients are computed by applying matching conditions that compare the interior and exterior geometric solutions at the border of the stellar objects. These unknowns are expressed in terms of the mass and radius of the compact star being studied. Using these formulations, we analyze compact stars for their density and pressure evolution, TOV equations, EoS, sound speed and anisotropy factor. If these conditions are satisfied, a compact star is considered to be in a stable configuration. We have established the stability criteria for three compact stars with known observational data. This framework offers insights into the equilibrium and structural properties of compact stars under <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> gravity. It can also be extended to analyze the stability properties of other compact stars in modified gravity theories.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"478 ","pages":"Article 170032"},"PeriodicalIF":3.0,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143825676","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Varying Newton gravitational “constant” cosmology 变牛顿引力“常数”宇宙论
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-04-07 DOI: 10.1016/j.aop.2025.170014
Clovis Jacinto de Matos , Nicolas Lori
{"title":"Varying Newton gravitational “constant” cosmology","authors":"Clovis Jacinto de Matos ,&nbsp;Nicolas Lori","doi":"10.1016/j.aop.2025.170014","DOIUrl":"10.1016/j.aop.2025.170014","url":null,"abstract":"<div><div>We demonstrate that quantum random fluctuations of Newton’s “constant”, <span><math><mi>G</mi></math></span>, are required to allow the vacuum to radiate Hawking radiation when it is disturbed by a mass, whether it be a black hole or not. We deduce, from Heisenberg uncertainty principle, the maximum quantum fluctuation amplitude of an energy-dependent Newton gravitational “Constant” <span><math><mi>G</mi></math></span>. This allows us to deduce a cosmic law for the variation of <span><math><mi>G</mi></math></span> as a function of the cosmological redshift. Consequences for the Friedman–Lemaître–Robertson–Walker (FLRW) Model of the Universe are explored and the physical nature of the Dark Matter (DM) components of the cosmological fluid is revealed. It is also argued that oscillations of <span><math><mi>G</mi></math></span> in black holes are a new physical mechanism for the emission of Gravitational Waves (GWs). Thus, conversion of part of the black hole rest mass into GW energy, through this mechanism, should occur in all black holes present in Active Galactic Nuclei (AGN) accounting for their luminosity and for the Stochastic Gravitational Wave Background (SGWB) recently detected by Timing Pulsar Array (TPA) teams. The presented data analysis obtains the result that fluctuations of Newton “constant” <span><math><mi>G</mi></math></span> allow for explaining several Cosmology experimental results, such as: Hubble Tension, DM density, and fire wall paradox.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"478 ","pages":"Article 170014"},"PeriodicalIF":3.0,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143816428","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Shadows for Kerr–Sen–Taub–NUT black holes with Manko–Ruiz parameter 具有Manko-Ruiz参数的Kerr-Sen-Taub-NUT黑洞的阴影
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-04-07 DOI: 10.1016/j.aop.2025.170015
Haryanto M. Siahaan
{"title":"Shadows for Kerr–Sen–Taub–NUT black holes with Manko–Ruiz parameter","authors":"Haryanto M. Siahaan","doi":"10.1016/j.aop.2025.170015","DOIUrl":"10.1016/j.aop.2025.170015","url":null,"abstract":"<div><div>In this paper, we explore the Kerr–Sen–Taub–NUT spacetime with the inclusion of the Manko–Ruiz parameter. We demonstrate the separability of the Hamilton–Jacobi equation for a classical test particle in this spacetime and, using the null Hamilton–Jacobi equation, derive a set of equations that define the black hole shadow’s boundary. Our analysis reveals that the shadow’s shape is influenced by variations in the spacetime parameters, including the Hassan–Sen transformation parameter, which corresponds to the black hole’s electric charge, as well as the NUT charge and rotational parameter. Additionally, we highlight the impact of the Manko–Ruiz parameter on the shadow’s deformation, offering new insights into its role in shaping the Kerr–Sen–Taub–NUT spacetime geometry.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"478 ","pages":"Article 170015"},"PeriodicalIF":3.0,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143785556","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Shot-noise power from a topological superconductor with chiral symmetry 具有手性对称的拓扑超导体的发射噪声功率
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-04-04 DOI: 10.1016/j.aop.2025.170013
Marília S.M. Barros, Isacc A. Saturno Junior, Edson M. Alves, Edivan A. da Silva, Ailton F. Macedo Junior, Antonio R. de C. Romaguera, Anderson L.R. Barbosa
{"title":"Shot-noise power from a topological superconductor with chiral symmetry","authors":"Marília S.M. Barros,&nbsp;Isacc A. Saturno Junior,&nbsp;Edson M. Alves,&nbsp;Edivan A. da Silva,&nbsp;Ailton F. Macedo Junior,&nbsp;Antonio R. de C. Romaguera,&nbsp;Anderson L.R. Barbosa","doi":"10.1016/j.aop.2025.170013","DOIUrl":"10.1016/j.aop.2025.170013","url":null,"abstract":"<div><div>We study the electronic transport through a junction of normal metal/topological superconductors. In the Random Matrix Theory (RMT) framework, the symmetric class BDI describes the electronic transport through the junction, and it is associated with a topological number <span><math><mrow><mi>Q</mi><mo>∈</mo><mi>Z</mi></mrow></math></span>. Using RMT, we describe the universal electronic properties of the junction between a normal metal and a topological superconductor. Specifically, we calculate the average conductance, shot noise power, and probability distributions. In particular, we show that the ratio between shot-noise power and conductance quantum interference corrections (“Fano factor”) changes the signal because of the effect of the topological quantum number <span><math><mi>Q</mi></math></span>. Numerical calculations further validate our analytical results.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"478 ","pages":"Article 170013"},"PeriodicalIF":3.0,"publicationDate":"2025-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143783846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Cosmic acceleration driven by dark matter self-interactions: A phenomenological treatment 由暗物质自相互作用驱动的宇宙加速：一种现象学处理
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-04-04 DOI: 10.1016/j.aop.2025.170012
A. Kazım Çamlıbel
{"title":"Cosmic acceleration driven by dark matter self-interactions: A phenomenological treatment","authors":"A. Kazım Çamlıbel","doi":"10.1016/j.aop.2025.170012","DOIUrl":"10.1016/j.aop.2025.170012","url":null,"abstract":"<div><div>We explore the idea that cosmic acceleration may be a byproduct of late-time effects like structure formation in two steps. First, we consider the equation of state for an inhomogeneous cosmic fluid, which may lead to a Gedanken-model for cosmic evolution, where dark matter is strongly self-interacting and stays in a plasma state until late stages of the cosmic evolution. After decoupling, it condensates to super-structures with cosmic voids similar to the current picture of the universe, introducing a negative pressure term in relation to self-interaction strength. Secondly, we carry out a cosmological analysis inspired by this scenario via a phenomenological ansatz that exhibits a transient behavior. In this analysis, we use the recent Type Ia supernova compilation and high redshift quasar data and compare the results to that of <span><math><mi>Λ</mi></math></span>CDM. It turns out that proposed model can solve the quasar Hubble diagram tension.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"478 ","pages":"Article 170012"},"PeriodicalIF":3.0,"publicationDate":"2025-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143799063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Landau levels for a non-relativistic spin 1/2 particle in a cosmic string spacetime 宇宙弦时空中非相对论自旋1/2粒子的朗道能级
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2025-03-28 DOI: 10.1016/j.aop.2025.170011
M.D. de Oliveira, Alexandre G.M. Schmidt
{"title":"Landau levels for a non-relativistic spin 1/2 particle in a cosmic string spacetime","authors":"M.D. de Oliveira,&nbsp;Alexandre G.M. Schmidt","doi":"10.1016/j.aop.2025.170011","DOIUrl":"10.1016/j.aop.2025.170011","url":null,"abstract":"<div><div>This work investigates the Landau quantization of a spin-<span><math><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></math></span> particle using the Pauli equation in the presence of a cosmic string. Due to the coupling of spin with the magnetic field, the radial differential equations for the two components of the Pauli spinor differ. Consequently, the upper and lower components of the spinor are distinct yet yield the same quantized energy spectrum with spin corrections. We perform a graphical analysis of the eigenenergies and radial probability density, considering a cosmic string modeled both with and without an internal structure.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"478 ","pages":"Article 170011"},"PeriodicalIF":3.0,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143738146","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
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