Modified $f(R)$ Gravity and Thermodynamics of Time-Dependent Wormholes at Event Horizon

TL;DR

This paper explores the thermodynamics of time-dependent wormholes within modified $f(R)$ gravity, focusing on entropy changes at the event horizon in a radiation background.

Contribution

It generalizes thermodynamic properties of dynamic wormholes in $f(R)$ gravity and analyzes entropy variation at the event horizon.

Findings

Entropy rate of change at the event horizon is examined.

Thermodynamic properties are extended to time-dependent wormholes.

Insights into gravity and thermodynamics interplay in modified gravity context.

Abstract

In the context of modified $f(R)$ gravity theory, we study time-dependent wormhole spacetimes in the radiation background. In this framework, we attempt to generalize the thermodynamic properties of time-dependent wormholes in $f(R)$ gravity. Finally, at event horizon, the rate of change of total entropy has been discussed.