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The paper deals with generalized Rastall theory of gravity and its cosmological consequences in the background of homogeneous and isotropic flat FLRW model with perfect fluid as the matter context. The model shows a non singular era…

General Relativity and Quantum Cosmology · Physics 2018-10-29 Dipanjana Das , Sourav Dutta , Subenoy Chakraborty

Einstein-Cartan theory is an extension of the standard formulation of General Relativity characterized by a non-vanishing torsion. The latter is sourced by the matter fields via the spin tensor, and its effects are expected to be important…

General Relativity and Quantum Cosmology · Physics 2020-10-08 Francisco Cabral , Francisco S. N. Lobo , Diego Rubiera-Garcia

In the framework of massive gravity with a de Sitter reference metric, we study homogeneous and isotropic solutions with positive spatial curvature. Remarkably, we find that bounces can occur when cosmological matter satisfies the strong…

High Energy Physics - Theory · Physics 2015-06-16 David Langlois , Atsushi Naruko

The primary aim of this work is to explore feasible bouncing cosmological solutions in the framework of $f(\mathcal{Q}, \mathcal{C})$ gravity, where $\mathcal{Q}$ denotes non-metricity and $\mathcal{C}$ indicates the boundary term. To…

General Relativity and Quantum Cosmology · Physics 2025-08-12 M. Sharif , M. Zeeshan Gul , Ahmad Nawaz

In an attempt to look for a viable mechanism leading to a present-day accelerated expansion, we investigate the possibility that the observed cosmic speed up may be recovered in the framework of the Rastall's theory, relying on the…

Cosmology and Nongalactic Astrophysics · Physics 2011-04-12 Monica Capone , Vincenzo Fabrizio Cardone , Matteo Luca Ruggiero

Rastall gravity, originally developed in 1972, is currently undergoing a significant surge in popularity. Rastall gravity purports to be a modified theory of gravity, with a non-conserved stress-energy tensor, and an unusual non-minimal…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Matt Visser

We examine the effects of the Rastall parameter on the behaviour of spherically symmetric static distributions of perfect fluid matter. It was claimed by Visser [Physics Letters B, 782, 83, (2018)] that the Rastall proposition is completely…

General Relativity and Quantum Cosmology · Physics 2018-12-31 Sudan Hansraj , Ayan Banerjee , Phongpichit Channuie

Rastall's theory is a modification of General Relativity, based on the non-conservation of the stress-energy tensor. The latter is encoded in a parameter $\gamma$ such that $\gamma = 1$ restores the usual $\nabla_\nu T^{\mu\nu} = 0$ law. We…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-18 C. E. M. Batista , J. C. Fabris , O. F. Piattella , A. M. Velasquez-Toribio

The k-essence theory with a power-law function of $(\partial\phi)^2$ and Rastall's non-conservative theory of gravity with a scalar field are shown to have the same solutions for the metric under the assumption that both the metric and the…

General Relativity and Quantum Cosmology · Physics 2017-09-19 Kirill A. Bronnikov , Julio C. Fabris , Oliver F. Piattella , Denis C. Rodrigues , Edison C. Santos

Rastall gravity is a modified gravity proposal that incorporates a non-conserved energy momentum tensor (EMT). We study the equivalence between Rastall gravity and general relativity, analyzing its consequences for an EMT of dark matter and…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Javier Chagoya , López-Domínguez , C. Ortiz

We formulate a theory combining the principles of a scalar-tensor gravity and the Rastall proposal of a violation of the usual conservation laws. In the resulting Brans-Dicke-Rastall (BDR) theory the only exact, static, spherically…

General Relativity and Quantum Cosmology · Physics 2015-03-18 T. Caramês , M. H. Daouda J. C. Fabris , A. M. Oliveira , O. F. Piattella , V. Strokov

We study the stability of static, spherically symmetric solutions of Rastall's theory in the presence of a scalar field with respect to spherically symmetric perturbations. It is shown that the stability analysis is inconsistent in the…

General Relativity and Quantum Cosmology · Physics 2021-02-24 K. A. Bronnikov , Júlio C. Fabris , Oliver F. Piattella , Denis C. Rodrigues , Edison C. O. Santos

We discuss the effects of a (possibly) negative $(1+z)^6$ type contribution to the Friedmann equation. No definite answer can be given as to the presence and magnitude of a particular mechanism, because any test using the general relation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Tomasz Stachowiak , Marek Szydlowski

We present a new bouncing cosmological solution of the non-local theory known as infinite derivative gravity, which goes beyond the recursive ansatz, ${\Box R = r_1 R +r_2}$. The non-local field equations are evaluated using the spectral…

General Relativity and Quantum Cosmology · Physics 2022-02-24 Ivan Kolář , Francisco José Maldonado Torralba , Anupam Mazumdar

Einstein's famous equivalence principle is certainly one of the most striking features of the gravitational interaction. In a strict reading, it states that the effects of gravity can be made to disappear $locally$ by a convenient choice of…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Daniel A. T. Vanzella

This paper is devoted in the study of the hydrostatic equilibrium of stellar structure in the framework of modified $f(R, T)$ gravity theory that allows the non-conservation of energy-momentum, with possible implications for several…

General Physics · Physics 2019-12-24 S. K. Maurya , Ayan Banerjee , Francisco Tello-Ortiz

This is a first study of the cosmology of classical fractional gravity, a nonlocal proposal endowed with self-adjoint fractional d'Alembertian operators which serves as the basis for an ultraviolet-complete theory of quantum gravity. We…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Iván Salvador-García , Gianluca Calcagni

A bouncing scenario of a flat homogeneous and isotropic universe is explored by using the reconstruction technique for the power-law parametrization of the Hubble parameter in a modified gravity theory with higher-order curvature and trace…

General Relativity and Quantum Cosmology · Physics 2023-04-03 J. K. Singh , Harshna Balhara , Kazuharu Bamba , J. Jena

Rastall introduced a stress-energy tensor whose divergence is proportional to the gradient of the Ricci scalar. This proposal leads to a change in the form of the field equations of General Relativity, but it preserves the number of degrees…

General Relativity and Quantum Cosmology · Physics 2023-02-28 Júlio C. Fabris , Oliver F. Piattella , Davi C. Rodrigues

The present paper is devoted to the study of bouncing cosmology in $f(R,T)$ modified gravity where we presume $f(R,T) = R + 2 \lambda T$, with $R$ the Ricci scalar, $T$ the trace of energy momentum tensor and $\lambda$ the model parameter.…

General Relativity and Quantum Cosmology · Physics 2020-04-07 Snehasish Bhattacharjee , P. K. Sahoo