Rastall gravity is equivalent to Einstein gravity

Visser, Matt

doi:10.1016/j.physletb.2018.05.028

Cited by 161 publications

(128 citation statements)

References 38 publications

(68 reference statements)

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“…In other words one may consider that generalized Rastall theory is equivalent to Einstein gravity with a varying cosmological parameter. This supports the claim in [20] even for generalized Rastall gravity.…”

Section: Basics Equation For Rastall Gravitysupporting

confidence: 89%

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Cosmological consequences in the framework of generalized Rastall theory of gravity

Das¹,

Dutta²,

Chakraborty³

2018

Eur. Phys. J. C

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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 (emergent scenario) at the early phase of expansion for a particular choice of the Rastall parameter. Also the model finds to be equivalent to the particle creation mechanism in Einstein gravity in the framework of non-equilibrium thermodynamics. Universal thermodynamics is briefly presented and it is found that the entropy function in Rastall theory is the usual Bekenstein entropy and there is no correction to it. Finally, a complete cosmic history starting from inflation to late time acceleration is presented for suitable choices of the Rastall parameter.

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Section: Basics Equation For Rastall Gravitysupporting

confidence: 89%

“…Thus it is possible to have a scenario of emergent Universe in generalized Rastall theory. The other three solutions represented by equations (17), (19) and (20) represent big-bang model of the Universe. The big-bang singularity occurs at…”

Section: Singular and Non-singular Universe In Rastall Gravitymentioning

confidence: 99%

Cosmological consequences in the framework of generalized Rastall theory of gravity

Das¹,

Dutta²,

Chakraborty³

2018

Eur. Phys. J. C

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“…Some results claim that the Rastall gravity is equivalent to Einstein theory, therefore Visser in his work concludes that the Rastall model does not provide any new scenario in the gravity description [19]. However, in Ref.…”

Section: Introductionmentioning

confidence: 94%

A thermodynamics revision of Rastall gravity

Cruz

Lepe

Morales-Navarrete

2019

Class. Quantum Grav.

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In this work we study some aspects of the Rastall gravity, being the thermodynamics consistency of the model the core of this paper, for this purpose we will consider the dynamical equations of Rastall model in a flat FLRW geometry. Under a holographic description can be seen that this scenario for gravity contributes to the energy density of the fluid with an extra term that can be related to the deceleration parameter, providing a way to estimate the value of the Rastall parameter, termed as ξλ, at present time. By adopting a specific Ansatz for the ξλ term it is possible to determine that the behaviour of the Hubble parameter in Rastall gravity has a similar aspect to the ΛCDM model at late times, but at thermodynamics level differs from the standard cosmology since the adiabatic behaviour for the entropy depends on the value of the parameter state, ω. However, the entropy has a positive growth and simultaneously its convexity condition can be guaranteed; when other contributions are considered such as matter production and chemical potential, the adiabatic expansion can not be achieved, but the theory keeps its thermodynamics consistency. The chemical potential seems to have an interesting role since at effective level we could have a cosmological constant or phantom expansion in the model. 95.30.Tg, 04.50.Kd

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“…Note that in the case of constraint (29) one gets κ ′′ λ ′ = 1/3(1 + w). Therefore, it suffices to use function (31) as well as gravitational coupling κ ′′ in (28) to obtain GRG equations (14) and (15) from (26). However, in our approach, both the Rastall parameter and gravitational coupling have to be variables instead of constant ones, contrary to the case of GRG which originally introduced in [37].…”

Section: Generalization Of Rastall Gravity and A Proposal For It's Lamentioning

confidence: 99%

A connection between Rastall-type and f(R, T) gravities

Shabani¹,

Ziaie²

2020

EPL

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Recently a Lagrangian formulation for Rastall Gravity (RG) has been proposed in the framework of f (R, T) gravity [1]. In the present work we obtain Lagrangian formulation for the standard Rastall theory assuming the matter content is a perfect fluid with linear Equation of State (EoS). We therefore find a relation between the coupling constant of the Lagrangian, the Rastall gravitational coupling constant and the EoS parameter. We also propose a Lagrangian for the Generalized Rastall Gravity (GRG). In this case the Rastall parameter which is a constant is replaced by a variable one. More exactly, it appears as a function of the Ricci scalar and the trace of the Energy Momentum Tensor (EMT). In both mentioned models, the Lagrangians are constructed by a linear function of R and T

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Rastall gravity is equivalent to Einstein gravity

Cited by 161 publications

References 38 publications

Cosmological consequences in the framework of generalized Rastall theory of gravity

Cosmological consequences in the framework of generalized Rastall theory of gravity

A thermodynamics revision of Rastall gravity

A connection between Rastall-type and f(R, T) gravities

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