Thermodynamics of Gravitationally Induced Particle Creation Scenario in DGP Braneworld

TL;DR

This paper examines the thermodynamics of gravitationally induced particle creation in the DGP braneworld, analyzing entropy laws and equilibrium conditions for different entropy forms and creation rates.

Contribution

It provides a detailed thermodynamical analysis within the DGP braneworld model considering various entropy corrections and creation rates, which is a novel approach.

Findings

Generalized second law holds under certain constraints.

Thermodynamical equilibrium is valid for both constant and variable creation rates.

Entropy behavior supports the validity of thermodynamic laws in this scenario.

Abstract

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 $\Gamma$. 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 $\Gamma$ and found its validity in all cases of entropy.