Generalized second law of thermodynamics in modified FRW cosmology with corrected entropy-area relation

Karami, K.; Sheykhi, Ahmad; Sahraei, Nasim; Ghaffari, S.

doi:10.1209/0295-5075/93/29002

Cited by 35 publications

(18 citation statements)

References 82 publications

(52 reference statements)

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“…For example, using the holographic principle it has been proposed that gravity is itself an entropic force derived from changes in the Bekenstein-Hawking entropy [64][65][66][67]. Based on this concept, the cosmological equations have been extensively examined in a homogeneous and isotropic universe [68][69][70][71][72], although the cosmological constant has not been discussed. In an alternative treatment, Easson et al [73,74] proposed an entropic cosmology that assumes the usually neglected surface terms on the horizon of the universe [75][76][77][78][79][80][81][82][83][84][85][86][87][88][89][90].…”

Section: Introductionmentioning

confidence: 99%

Cosmological model from the holographic equipartition law with a modified Rényi entropy

2017

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Cosmological equations were recently derived by Padmanabhan from the expansion of cosmic space due to the difference between the degrees of freedom on the surface and in the bulk in a region of space. In this study, a modified Rényi entropy is applied to Padmanabhan's 'holographic equipartition law', by regarding the Bekenstein-Hawking entropy as a nonextensive Tsallis entropy and using a logarithmic formula of the original Rényi entropy. Consequently, the acceleration equation including an extra driving term (such as a time-varying cosmological term) can be derived in a homogeneous, isotropic, and spatially flat universe. When a specific condition is mathematically satisfied, the extra driving term is found to be constant-like as if it is a cosmological constant. Interestingly, the order of the constant-like term is naturally consistent with the order of the cosmological constant measured by observations, because the specific condition constrains the value of the constant-like term.

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Section: Introductionmentioning

confidence: 99%

Cosmological model from the holographic equipartition law with a modified Rényi entropy

2017

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“…A simple way to parameterize deviations from the entropy area law (1) is by the addition of a term which is a power law of the area, [6,10,11]. The modified Friedmann equation in such models has the following form…”

Section: Phenomenological Modifications To the Entropy-area Lawmentioning

confidence: 99%

Modified entropic gravity and cosmology

Zumalacárregui

2012

AIP Conference Proceedings

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Abstract. It has been recently proposed that the gravitational interaction can be explained as an entropic force. Although a well defined fundamental description for such a mechanism is lacking, it is still possible to address the viability of phenomenological models of entropic-inspired modified gravities. I will summarize some recent work directed to using cosmology as a tool to constraint scenarios aimed to explain the physics behind dark energy and inflation. A phenomenological modification is able to explain cosmic acceleration at the background level and fit observations, but simple inflationary models with higher curvature corrections are incompatible with a matter dominated expansion era.

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“…In order to discuss GSLT, horizon entropy of the universe can be taken as one quarter of its horizon area [8] or power law corrected [9][10][11] or logarithmic corrected [12] forms. Many people have explored the validity of GSLT of different systems including interaction of two fluid components like DE and dark matter [13][14][15][16], as well as interaction of three components of fluid [17][18][19] in the FRW universe by using simple horizon entropy of the universe. The thermodynamical analysis widely performed in modified theories of gravity [20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of gravitationally induced particle creation scenario in DGP braneworld

2018

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In this paper, we discuss the thermodynamical analysis for gravitationally induced particle creation scenario in the framework of DGP braneworld model. For this purpose, we consider apparent horizon as the boundary of the universe. We take three types of entropy such as Bakenstein entropy, logarithmic corrected entropy and power law corrected entropy with ordinary creation rate . We analyze the first law and generalized second law of thermodynamics analytically for these entropies which hold under some constraints. The behavior of total entropy in each case is also discussed which implies the validity of generalized second law of thermodynamics. Also, we check the thermodynamical equilibrium condition for two phases of creation rate, that is constant and variable and found its vitality in all cases of entropy.

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Generalized second law of thermodynamics in modified FRW cosmology with corrected entropy-area relation

Cited by 35 publications

References 82 publications

Cosmological model from the holographic equipartition law with a modified Rényi entropy

Cosmological model from the holographic equipartition law with a modified Rényi entropy

Modified entropic gravity and cosmology

Thermodynamics of gravitationally induced particle creation scenario in DGP braneworld

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