A study of universal thermodynamics in massive gravity: modified entropy on the horizons

Saha, Subhajit; Mitra, Saugata; Chakraborty, Subenoy

doi:10.1007/s10714-015-1877-5

Cited by 4 publications

(2 citation statements)

References 76 publications

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“…As the projection of the pure matter energy supply Aψ m along the apparent horizon gives the heat flow δQ in the Clausius relation δQ = T dS, so from the above equation (42) we obtain [32][33][34][35][36][37][38][39][40]…”

Section: Universal Thermodynamics In Rastall Theory Of 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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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: Universal Thermodynamics In Rastall Theory Of Gravitymentioning

confidence: 99%

Cosmological consequences in the framework of generalized Rastall theory of gravity

Das¹,

Dutta²,

Chakraborty³

2018

Eur. Phys. J. C

Self Cite

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“…In literature various forms of entropy and temperature have been proposed to study thermodynamics in expanding universe [58][59][60]. For instance by generalising the temperature or modifying the entropy in Einstein gravity, validity of thermdynamical laws and TE have been shown in various gravity theories [61][62][63][64][65][66]. In other words, generalised Hawking temperature or a modified Bekenstein entropy on event horizon helps in making perfect thermodynamical system in different gravity theories.…”

Section: Introductionmentioning

confidence: 99%

Modified Bekenstein-Hawking System in f(R) Gravity

2016

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The present work deals with four alternative formulation of Bekenstein system on event horizon in f (R) gravity. While thermodynamical laws holds in universe bounded by apparent horizon, these laws break down on event horizon. With alternative formulation of thermodynamical parameters (temperature and entropy), thermodynamical laws hold on event horizon in Einstein Gravity. With this motivation, we extend the idea of generalised Hawking temperature and modified Bekenstein entropy in homogeneous and isotropic model of universe on event horizon and examine whether thermodynamical laws hold in f(R) gravity.Specifically, we examine and compare validity of generalised second law of thermodynamics (GSLT) and thermodynamical equilibrium (TE) in four alternative modified Bekenstein scenarios. As Dark energy is a possible dominant candidate for matter in the univerese and Holographic Dark Energy (HDE) can give effective description of f(R) gravity, so matter in the universe is taken as in the form interacting HDE. In order to understand the complicated expressions, finally the above laws are examined from graphical representation using three Planck data sets and it is found that generalised/modified Hawking temperature has a crucial role in making perfect thermodynamical system. equilibrium, modified Bekenstien entropy and generalised/ modified Hawking temperature, event horizon.

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Thermodynamics of scalar field models with kinetic corrections

Chetry

Dutta

Khyllep

2019

Int. J. Mod. Phys. D

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In the present work, we compare the thermodynamical viability of two types of noncanonical scalar field models with kinetic corrections: the square kinetic and square root kinetic corrections. In modern cosmology, the generalised second law of thermodynamics (GSLT) plays an important role in deciding thermodynamical compliance of a model as one cannot consider a model to be viable if it fails to respect GSLT. Hence, for comparing thermodynamical viability, we examine the validity of GSLT for these two models. For this purpose, by employing the Unified first law (UFL), we calculate the total entropy of these two models in apparent and event horizons. The validity of GSLT is then examined from the autonomous systems as the original expressions of total entropy are very complicated. Although, at the background level, both models give interesting cosmological dynamics, however, thermodynamically we found that the square kinetic correction is more realistic as compared to the square root kinetic correction. More precisely, the GSLT holds for the square kinetic correction throughout the evolutionary history except only during the radiation epoch where the scalar field may not represent a true description of the matter content. On the other hand, the square root kinetic model fails to satisfy the GSLT in major cosmological eras.

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A study of universal thermodynamics in massive gravity: modified entropy on the horizons

Cited by 4 publications

References 76 publications

Cosmological consequences in the framework of generalized Rastall theory of gravity

Cosmological consequences in the framework of generalized Rastall theory of gravity

Modified Bekenstein-Hawking System in f(R) Gravity

Thermodynamics of scalar field models with kinetic corrections

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