Generalized Second Law of Thermodynamics in Warped DGP Braneworld

Abstract

We investigate the validity of the generalized second law of thermodynamics on the (n − 1)-dimensional brane embedded in the (n + 1)-dimensional bulk. We examine the evolution of the apparent horizon entropy extracted through relation between gravitational equation and the first law of thermodynamics together with the matter field entropy inside the apparent horizon. We find that the apparent horizon entropy extracted through connection between gravity and the first law of thermodynamics satisfies the generalized second law of thermodynamics. This result holds regardless of whether there is the intrinsic curvature term on the brane or a cosmological constant in the bulk. The observed satisfaction of the generalized second law provides further support on the thermodynamical interpretation of gravity based on the profound connection between gravity and thermodynamics.

The Generalized Second Law for the Interacting New Agegraphic Dark Energy in a Non-flat FRW Universe Enclosed by the Dynamical Apparent Horizon

“…According to the GSL, entropy of the NADE and DM inside the horizon plus the entropy of the horizon do not decrease with time [50]. Here like [46][47][48], we assume that the temperature T of the both NADE and DM inside the dynamical apparent horizon to be in equilibrium with the Hawking temperature T A associated with the dynamical apparent horizon, so we have T = T A . The Hawking temperature can be measured by an observer with the Kodoma vector inside the dynamical apparent horizon [69].…”

“…The GSL of thermodynamics is as important as the first law, governing the development of the nature [40][41][42][43][44][45][46][47][48][49][50][51][52][53][54].…”

Emergent universe in the braneworld scenario

“…Also, the general expression of temperature at the apparent horizon of the FRW universe allows one to show that the GSL holds in Einstein, Gauss-Bonnet, and more general Lovelock gravity [85,86]. Also, the GSL of thermodynamics in the framework of braneworld scenarios is studied in [87,88]. One can find other studies on the GSL of thermodynamics in [89][90][91][92][93][94][95][96][97][98][99][100].…”

Holographic dark energy and generalized second law

“…These studies favors the apparent horizon as the physical boundary of the universe as far as the thermodynamics is concerned. The GSL of thermodynamics has also been studied in the framework of Braneworld [45,46] and more general Levelock gravity [47].…”