Thermodynamics in Rastall gravity with entropy corrections

Bamba, Kazuharu; Jawad, Abdul; Rafique, Salman; Moradpour, H.

doi:10.1140/epjc/s10052-018-6446-0

Cited by 59 publications

(45 citation statements)

References 86 publications

(80 reference statements)

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“…The corrected form of the horizon entropy has an important impact on the thermodynamics of the universe. The laws of thermodynamics in a universe with the corrected form of the horizon entropy have been investigated by many authors and in different contexts [56,57,58,59,60]. In [56], a thermodynamical description of the entropy-corrected holographic dark energy in a universe with a special curvature has been provided using the first law of thermodynamics.…”

Section: Introductionmentioning

confidence: 99%

“…The validity of GSL with entropy corrections in a flat and closed Kaluza Klein universe has been investigated in [59]. The validity of first law and generalized second law of thermodynamics for flat FRW cosmology in Rastall gravity has been investigated analytically in [60] for 4 different entropies: 1 -Modified Bekenstein entropy S B = 1 4 (1 + 2γ 1+4γ )4πR 2 A where the apparent horizon R A is given in terms of Hubble parameter as R A = 1 H , and is related to Hawking temperature at the apparent horizon T A by T A = 1 2πR A . 2 -Logarithmic corrected entropy given by relation (1).…”

Section: Introductionmentioning

confidence: 99%

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Cosmological determination to the values of the pre-factors in the logarithmic corrected entropy-area relation

Ahmed

Alamri

2019

Astrophys Space Sci

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In this paper, we continue investigating the possible values of the pre-factors α and β in the logarithmic corrected entropy-area relation based on cosmological stability arguments. In a previous study, we have investigated the stability of the entropy-corrected cosmology using an empirical hyperbolic form of the scale factor. We found that the zero values of the two pre-factors are necessary to obtain a stable flat universe with a deceleration-acceleration transition and no causality violation. The necessity of the zero values of the two pre-factors has also been reached in the current work using a hybrid scale factor Ansatz in the entropy-corrected cosmological equations. Investigating the corrected entropy-area relation in different gravitational and cosmological contexts can provide an accurate estimation to the correct values of the pre-factors. The current work opens a discussion on the validity of the correction terms in the logarithmic corrected entropy-area relation on the cosmological scale. The evolution of the cosmic pressure, energy density, equation of state parameter, jerk parameter and the nonlinear energy conditions has been analyzed. : 98.80.-k, 95.36.+x, 65.40.gd PACS

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Cosmological determination to the values of the pre-factors in the logarithmic corrected entropy-area relation

Ahmed

Alamri

2019

Astrophys Space Sci

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“…where, x ≡ κ ′′ λ ′ . One can easily check that equations (32) and (33) lead to the same result provided that equation (30) holds. More precisely, in this case we have…”

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

confidence: 85%

“…which is the derivative of equation (30) with respect to the trace of EMT. Now, we consider equations (25) and (28) for a constant gravitational coupling and again utilize the function (26).…”

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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“…[11,12], the thermodynamics of black holes was in Refs. [13][14][15][16][17], and also instability of black holes was in Refs. [18,19].…”

Section: Introductionmentioning

confidence: 99%

Phase Structure and Quasinormal Modes of AdS Black Holes in Rastall Theory

Zou

Zhang

Yue

2020

Advances in High Energy Physics

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We discuss the P−V criticality and phase transition in the extended phase space of anti-de Sitter(AdS) black holes in four-dimensional Rastall theory and recover the Van der Waals (VdW) analogy of small/large black hole (SBH/LBH) phase transition when the parameters ωs and ψ satisfy some certain conditions. Later, we further explore the quasinormal modes (QNMs) of massless scalar perturbations to probe the SBH/LBH phase transition. It is found that it can be detected near the critical point, where the slopes of the QNM frequencies change drastically in small and large black holes.

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Thermodynamics in Rastall gravity with entropy corrections

Cited by 59 publications

References 86 publications

Cosmological determination to the values of the pre-factors in the logarithmic corrected entropy-area relation

Cosmological determination to the values of the pre-factors in the logarithmic corrected entropy-area relation

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

Phase Structure and Quasinormal Modes of AdS Black Holes in Rastall Theory

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