Thermodynamics of an Evolving Lorentzian Wormhole with Entropy Corrections

TL;DR

This paper investigates the validity of the generalized second law of thermodynamics at the apparent horizon of an evolving Lorentzian wormhole, considering entropy corrections and specific scale factor and shape function choices.

Contribution

It introduces the analysis of GSL in evolving wormholes with entropy corrections using power-law and logarithmic functions, highlighting conditions for its validity.

Findings

GSL holds for small power-law exponents in wormhole evolution.

GSL is initially valid but can be violated at later stages for large exponents.

Entropy corrections influence the thermodynamic behavior of evolving wormholes.

Abstract

In this work, we study the generalized second law of thermodynamics (GSL) at the apparent horizon of an evolving Lorentzian wormhole. We obtain the expressions of thermal variables at the apparent horizon. Choosing the two well-known entropy functions i.e. power-law and logarithmic, we obtain the expressions of GSL. We have analyzed the GSL using a power-law form of scale factor $a(t)=a_0t^n$ and the special form of shape function $b(r)=\frac{b_{0}}{r}$. It is shown that GSL is valid in the evolving wormhole spacetime for both choices of entropies if the power-law exponent is small, but for large values of $n$, the GSL is satisfied at initial stage and after certain stage of the evolution of the wormhole, it violates.