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In this letter we will study the cosmological dynamical system of an $f(R)$ gravity in the presence of a canonical scalar field $\phi$ with an exponential potential, by constructing the dynamical system in a way that it is render…

广义相对论与量子宇宙学 · 物理学 2019-01-09 K. Kleidis , V. K. Oikonomou

By applying the symmetric and trace-free formalism in terms of the irreducible Cartesian tensors, the metric for the external gravitational field of a spatially compact stationary source is provided in $F(X,Y,Z)$ gravity, a generic…

广义相对论与量子宇宙学 · 物理学 2023-11-15 Bofeng Wu , Chao-Guang Huang

We consider $f(R)$ modified gravity theory incorporating the chameleon mechanism to address galactic dynamics. By employing the metric formalism and utilizing a conformal transformation, we simplify the field equations and describe the…

广义相对论与量子宇宙学 · 物理学 2024-09-04 Gayatri Mohan , Umananda Dev Goswami

In this paper, the quasi static-approximation on the hydrodynamics of compact objects is proposed in $f(R, T)$ gravity, where $R$ is the scalar curvature and $T$ is the trace of stress-energy tensor, by exploring the axial and reflection…

广义相对论与量子宇宙学 · 物理学 2024-08-26 Z. Yousaf , Kazuharu Bamba , M. Z. Bhatti , U. Farwa

Teleparallel based cosmological models provide a description of gravity in which torsion is the mediator of gravitation. Several extensions have been made within the so-called Teleparallel equivalent of general relativity which is…

广义相对论与量子宇宙学 · 物理学 2023-01-18 L. K. Duchaniya , S. A. Kadam , Jackson Levi Said , B. Mishra

The full set of equations governing the structure and the evolution of self--gravitating spherically symmetric dissipative fluids with anisotropic stresses, is written down in terms of five scalar quantities obtained from the orthogonal…

广义相对论与量子宇宙学 · 物理学 2011-07-19 L. Herrera , J. Ospino , A. Di Prisco , E. Fuenmayor , O. Troconis

We perform a dynamical system analysis of Myrzakulov or F(R, T) gravity, which is a subclass of affinely connected metric theories, where ones uses a specific but non-special connection, which allows for non-zero curvature and torsion…

广义相对论与量子宇宙学 · 物理学 2022-11-30 G. Papagiannopoulos , Spyros Basilakos , Emmanuel N. Saridakis

We propose a new dynamical system formalism for the analysis of f(R) cosmologies. The new approach eliminates the need for cumbersome inversions to close the dynamical system and allows the analysis of the phase space of f(R)-gravity models…

广义相对论与量子宇宙学 · 物理学 2015-10-27 Sante Carloni

In $D-$dimensional spherically symmetric $f\left( R\right) $ gravity there are three unknown functions to be determined from the fourth order differential equations. It is shown that the system remarkably integrates to relate two functions…

广义相对论与量子宇宙学 · 物理学 2016-06-23 Z. Amirabi , M. Halilsoy , S. Habib Mazharimousavi

The study addresses matter-coupled modified gravity, particularly $f (T, \mathcal{T})$ gravity, unveiling distinct formalism. The research further discusses stability analysis, and the dynamical system approach, exploring the dynamics of…

广义相对论与量子宇宙学 · 物理学 2023-12-22 L. K. Duchaniya , Santosh V Lohakare , B. Mishra

In this work we investigate several theoretical and phenomenological implications of a scalar -$F(R)$ gravity containing a non-minimal coupling to the scalar curvature. This kind of model is a generalization of axion-$F(R)$ gravity models,…

广义相对论与量子宇宙学 · 物理学 2020-05-20 Shin'ichi Nojiri , S. D. Odintsov , V. K. Oikonomou

In this paper, we have considered a quadratic variation of the deceleration parameter ($q$) as a function of cosmic time ($t$) which describes a smooth transition from the decelerating phase of the Universe to an accelerating one and also…

广义相对论与量子宇宙学 · 物理学 2022-06-30 Ritika Nagpal , Shibesh Kumar Jas Pacif

The $f(T)$ gravity is one of the extensions of teleparallel equivalent of general relativity, in which more general functions of the torsion scalar $T$ can be described. With the proposed functional form of $f(T) = \alpha T - \beta u^{-n} +…

广义相对论与量子宇宙学 · 物理学 2026-04-14 Suraj Kumar Behera , S. A. Kadam , Pratik P. Ray , B. Mishra

In the present paper a new cosmological model is proposed by extending the Einstein--Hilbert lagrangian with a generic functional $f(R,P)$, which depends on the scalar curvature $R$ and a term $P$ which encodes a possible influence from…

广义相对论与量子宇宙学 · 物理学 2021-12-22 Mihai Marciu

We show that the well-known problem of frame dependence and violation of local Lorentz invariance in the usual formulation of $f(T)$ gravity is a consequence of neglecting the role of spin connection. We re-formulate $f(T)$ gravity…

广义相对论与量子宇宙学 · 物理学 2016-05-06 Martin Krššák , Emmanuel N. Saridakis

We investigate the emergence of cosmic hysteresis in cyclic bouncing cosmologies within the framework of $f(R)$ modified gravity theories. Building upon previous studies that explored hysteresis phenomena in braneworld and…

广义相对论与量子宇宙学 · 物理学 2025-06-12 Aritra Sanyal

This study explores the application of complexity factor within the context of Rastall gravity, exploring its implications on a static spacetime admitting spherical symmetry associated with anisotropic fluids under an electromagnetic field.…

广义相对论与量子宇宙学 · 物理学 2025-08-20 Tayyab Naseer

We consider curvature-teleparallel $F(R,T)$ gravity, where the gravitational Lagrangian density is given by an arbitrary function of the Ricci scalar $R$ and the torsion scalar $T$. Using the Noether Symmetry Approach, we show that the…

广义相对论与量子宇宙学 · 物理学 2015-10-21 Salvatore Capozziello , Mariafelicia De Laurentis , Ratbay Myrzakulov

In $f(T)$ gravity, the theory modifies the gravitational action by introducing a function of the torsion scalar $T$. This approach allows for a different treatment of gravity than general relativity, particularly in cosmological contexts.…

广义相对论与量子宇宙学 · 物理学 2024-10-08 S. Davood Sadatian , S. Mohamad Reza Hosseini

This study offers a comprehensive reconstruction of $f(T)$ gravity model with three distinct non-linear as well as novel forms employing a hybrid scale factor to depict the expansion history of the universe starting from early decelerated…

广义相对论与量子宇宙学 · 物理学 2026-02-17 Suraj Kumar Behera , Pratik P. Ray