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The Rastall's theory is a modification of General Relativity touching one of the cornestone of gravity theory: the conservation laws. In Rastall's theory, the energy-momentum tensor is not conserved anymore, depending now on the gradient of…

General Relativity and Quantum Cosmology · Physics 2015-06-19 J. C. Fabris , O. F. Piattella , D. C. Rodrigues , M. H. Daouda

The existence of conservation laws is one of the most important requirement of physical theories. Some of them, like energy conservation, knows no experimental exception. However, the generalization of these conservation laws to curved…

General Relativity and Quantum Cosmology · Physics 2012-08-24 J. C. Fabris

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

A generalized version for the Rastall theory is proposed showing the agreement with the cosmic accelerating expansion. In this regard, a coupling between geometry and the pressureless matter fields is derived which may play the role of dark…

General Relativity and Quantum Cosmology · Physics 2017-05-24 H. Moradpour , Y. Heydarzade , F. Darabi , Ines G. Salako

Rastall's theory is based on the non-conservation of the energy-momentum tensor. We show that, in this theory, if we introduce a two-fluid model, one component representing vacuum energy whereas the other pressureless matter (e.g. baryons…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-27 Carlos E. M. Batista , Mahamadou H. Daouda , Júlio C. Fabris , Oliver F. Piattella , Davi C. Rodrigues

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

Cosmological implications of a generalized Rastall theory where the non-conservation equation is promoted to accepts arbitrary functions of the Ricci scalar is considered. We have obtain the model parameters of the power-law ansatz…

General Relativity and Quantum Cosmology · Physics 2021-10-13 Shahab Shahidi

Amongst a number of modified theories of gravity, the Rastall theory has been propounded to address some shortcomings of the standard theory of general relativity. Our purpose is to investigate this framework's capacity to analyse stellar…

General Relativity and Quantum Cosmology · Physics 2018-07-04 Sudan Hansraj , Ayan Banerjee

We present a generalization of Rastall's gravity in which the conservation law of the energy-momentum tensor is altered, and as a result, the trace of the energy-momentum tensor is taken into account together with the Ricci scalar in the…

General Relativity and Quantum Cosmology · Physics 2022-02-24 Clésio E. Mota , Luis C. N. Santos , Franciele M. da Silva , Guilherme Grams , Iarley P. Lobo , Débora P. Menezes

Rastall gravity is the same as General Relativity, with a simple algebraic redefinition of what is called the energy-momentum tensor. Despite it having been very clearly explained by M. Visser several years go, there are still many papers…

General Relativity and Quantum Cosmology · Physics 2024-07-11 Alexey Golovnev

Rastall's theory is a generalization of Einstein's equations in which the energy-momentum tensor is not a conserved quantity, its covariant derivative is proportional to the gradient of the Ricci scalar and this fact can be associated with…

General Relativity and Quantum Cosmology · Physics 2015-03-05 A. F. Santos , S. C. Ulhoa

Recently a modified version of Rastall theory of gravity has been introduced in which a varying coupling parameter could act as dark energy (DE) and thus, it can be held responsible for the current accelerated expansion of the Universe.…

General Physics · Physics 2020-11-20 A. H. Ziaie , H. Moradpour , H. Shabani

In recent years, Rastall gravity is undergoing a considerable surge in popularity. This theory purports to be a modified gravity theory with a non-conserved energy-momentum tensor ({\rm EMT}) and an unusual non-minimal coupling between…

General Physics · Physics 2021-10-12 A. H. Ziaie , H. Shabani , S. Ghaffari

Bearing holographic dark energy hypothesis in mind, the ability of vacuum energy in describing the current accelerated universe is studied in the framework of Rastall theory. Here, in addition to the ordinary approach in which it is…

General Relativity and Quantum Cosmology · Physics 2020-11-17 S. Ghaffari , A. A. Mamon , H. Moradpour , A. H. Ziaie

We review the difficulties of the generalized Chaplygin gas model to fit observational data, due to the tension between background and perturbative tests. We argue that such issues may be circumvented by means of a self-interacting scalar…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 J. C. Fabris , O. F. Piattella , D. C. Rodrigues , C. E. M. Batista , M. H. Daouda

Modified gravity can be considered as an alternative to dark energy. In a generalized theory of gravity, the universe may accelerate while containing only baryonic and dark matter. We study, in particular, the evolution of matter…

Astrophysics · Physics 2008-11-26 Tomi Koivisto

Rastall's theory is a modification of Einstein's theory of gravity where the covariant divergence of the stress-energy tensor is no more vanishing, but proportional to the gradient of the Ricci scalar. The motivation of this theory is to…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Gabriel F. Silva , Oliver F. Piattella , Julio C. Fabris , Luciano Casarini , Taislane O. Barbosa

We investigate the evolution of the gravitational potential in Rastall scalar field theories. In a single component model a consistent perturbation theory, formulated in the newtonian gauge, is possible only for $\gamma = 1$, which is the…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-27 J. C. Fabris , M. Hamani Daouda , O. F. Piattella

The Rastall theory of gravity is the generalized form of the Einstein theory which describes the conservation law of energy and momentum tensor. In our work, we compute the charged black strings solution in the background of Rastall theory…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Riasat Ali , Rimsha Babar , Muhammad Asgher , Syed Asif Ali Shah

Apart from the familiar structure firmly-rooted in the general relativistic field equations where the energy--momentum tensor has a null divergence i.e., it conserves, there exists a considerable number of extended theories of gravity…

General Relativity and Quantum Cosmology · Physics 2021-02-09 Hermano Velten , Thiago R. P. Caramês
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