Thermodynamics of event horizon with modified Hawking temperature in scalar-tensor gravity

Chetry, Binod; Dutta, Jibitesh; Abdolmaleki, A.

doi:10.1007/s10714-018-2460-7

Cited by 4 publications

(1 citation statement)

References 88 publications

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“…14 However using various alternative formulations of the Hawking temperature, it was found that Universe bounded by an event horizon forms a perfect thermodynamical system in the Einstein gravity. 15,16 Recently, there are extensive work on thermodynamical analysis in different gravity theories including f (R)-theory, [17][18][19] f (G)-theory, 20 scalar-tensor theory, 21,22 Lovelock theory, 13,23 braneworld theories, 24 general relativity based non-canonical scalar field models. 25,26 One of the difficult tasks in analyzing the thermodynamical system is to define the entropy and temperature on the surface of a trapping horizon.…”

Section: Introductionmentioning

confidence: 99%

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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Section: Introductionmentioning

confidence: 99%

Thermodynamics of scalar field models with kinetic corrections

Chetry

Dutta

Khyllep

2019

Int. J. Mod. Phys. D

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Thermodynamic implications of Brans–Dicke cosmologies

Singh

2021

Eur. Phys. J. Plus

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Thermodynamic and observational constraints of DGP braneworld in the light of nonlinear electrodynamics

Chetry

Dutta

Debnath

et al. 2019

Int. J. Geom. Methods Mod. Phys.

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This paper deals with the study of the effect of Maxwell’s nonlinear electrodynamics (NLED) in the framework of Dvali–Gabadadze–Porrati (DGP) brane gravity for Friedmann–Robertson–Walker (FRW) Universe. Recently, the Hawking temperature and Bekenstein entropy have been modified for the validity of the thermodynamical laws at the event horizon. In this context, we test the validity of the generalized second law of thermodynamics (GSLT) at the apparent and event horizons. Here, the entropy of the horizon has been extracted for the following two cases: (i) by assuming the first law of thermodynamics (ii) by using modified entropy-area relation. In the case of apparent horizon, we consider the usual Hawking temperature. On the other hand, in the case of event horizon, we consider the modified Hawking temperature. Next, we discuss the geometrical parameters (deceleration, statefinder parameters and [Formula: see text] diagnostic) to explore the expansion of the accelerating Universe. From the general expression of GSLT, we find that for the apparent horizon, the GSLT always holds for any choice of model parameters in both the branches of the DGP model. However, the null energy condition must satisfy for the plausibility of GSLT at the event horizon. Finally, we use the recent observational data from Stern datasets, Baryon Acoustic Oscillations (BAO), Cosmic Microwave Background (CMB) and Type Ia Supernovae (SNIa) observations to hold down the model parameters. Our analysis reveals that the DGP braneworld is free from classical instability issues and also cannot be ruled out by present thermodynamical and observational constraints.

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Thermodynamics of event horizon with modified Hawking temperature in scalar-tensor gravity

Cited by 4 publications

References 88 publications

Thermodynamics of scalar field models with kinetic corrections

Thermodynamics of scalar field models with kinetic corrections

Thermodynamic implications of Brans–Dicke cosmologies

Thermodynamic and observational constraints of DGP braneworld in the light of nonlinear electrodynamics

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