Thermodynamics of Gauss-Bonnet brane with modified Chaplygin gas

Bandyopadhyay, Tanwi

doi:10.1007/s10509-012-1115-5

Cited by 13 publications

(9 citation statements)

References 31 publications

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“…The generalized second law of thermodynamics in the brane-world scenario including the modified Chaplygin gas verified on the apparent horizon in late time by the Ref. [87]. Already, the thermodynamics in HL cosmology have been investigated and validity of the generalized second law of thermodynamics verified [69].…”

Section: Contents 1 Introductionmentioning

confidence: 91%

Extended Chaplygin gas in Horava–Lifshitz gravity

Pourhassan

2016

Physics of the Dark Universe

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In this paper, we investigate cosmological models of the extended Chaplygin gas in a universe governed by Horava-Lifshitz gravity. The equation of state for an extended Chaplygin gas is a (n + 2)-variable equation determined by A n , α, and B. In this work, we are interested to the case of second order (n = 2) equation of state which recovers quadratic barotropic equation of state. In that case there are four free parameters. We solve conservation equation approximately and obtain energy density in terms of scale factor with mentioned free parameters. Under some assumptions we relate free parameters to each other to have only one free independent parameter (A 2 ). It help us to obtain explicit expression for energy density in terms of scale factor. The allowed values of the second order extended Chaplygin gas parameter is fixed using the recent astrophysical and cosmological observational data. Thermodynamics of the model investigated based on the first and second law of thermodynamics.

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Section: Contents 1 Introductionmentioning

confidence: 91%

Extended Chaplygin gas in Horava–Lifshitz gravity

Pourhassan

2016

Physics of the Dark Universe

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“…Therefore, the energy-momentum tensor corresponding to the shear and bulk viscous fluid and generalized Chaplygin gas can be written as [41][42][43][44][45][46][47] …”

Section: Field Equations In F (R T ) Gravitymentioning

confidence: 99%

Viscous generalized Chaplygin gas interacting with f(R,T) gravity

Baffou

Houndjo

Salako

2017

Int. J. Geom. Methods Mod. Phys.

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In this paper, we study in Friedmann-Robertson-Walker universe the interaction between the viscous generalized Chaplygin gas with f (R, T ) gravity, which is an arbitrary function of the Ricci scalar R and the trace T of the energy-momentum tensor. Assuming that the contents of universe is dominated by a generalized Chaplygin gas and dark energy, we obtained the modified Friedmann equations and also the time dependent energy density and pressure of dark energy due to the shear and bulk viscosities for three interacting models depending on an input parameter Q. Within the simple form of scale factor (power-law), we discuss the graphical representation of dark energy density parameter and investigate the shear and bulk viscosities effects on the accelerating expansion of the universe for each interacting model.

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“…Karami et al [33] investigated the validity of the GSLT in a non-flat FRW universe in the presence of the interacting generalized Chaplygin gas with the baryonic matter, where the universe is assumed to be enclosed by the dynamical apparent horizon. Bandyopadhyay [34] showed the validity of the GSLT in the braneworld scenario with induced gravity and curvature correction terms along with a dark energy component, namely, the Modified Chaplygin Gas on the 3-brane together with a perfect fluid as the dark matter.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of FRW universe with Chaplygin gas models

Chakraborty

Guha

2019

Gen Relativ Gravit

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In this paper we have examined the validity of the generalized second law of thermodynamics (GSLT) in an expanding Friedmann Robertson Walker (FRW) universe filled with different variants of Chaplygin gases. Assuming that the universe is a closed system bounded by the cosmological horizon, we first present the general prescription for the rate of change of total entropy on the boundary. In the subsequent part we have analyzed the validity of the generalised second law of thermodynamics on the cosmological apparent horizon and the cosmological event horizon for different Chaplygin gas models of the universe. The analysis is supported with the help of suitable graphs to clarify the status of the GSLT on the cosmological horizons. In the case of the cosmological apparent horizon we have found that some of these models always obey the GSLT, whereas the validity of GSLT on the cosmological event horizon of all these models depend on the choice of free parameters in the respective models.

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Thermodynamics of Gauss-Bonnet brane with modified Chaplygin gas

Cited by 13 publications

References 31 publications

Extended Chaplygin gas in Horava–Lifshitz gravity

Extended Chaplygin gas in Horava–Lifshitz gravity

Viscous generalized Chaplygin gas interacting with f(R,T) gravity

Thermodynamics of FRW universe with Chaplygin gas models

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