Generalized Vaidya spacetime for cubic gravity

TL;DR

This paper introduces a generalized Vaidya solution in five-dimensional cubic gravity, analyzing its thermodynamics, entropy, and energy, and demonstrating the validity of the first and second laws of thermodynamics.

Contribution

It presents a novel generalized Vaidya solution in five-dimensional cubic gravity with second-order field equations, extending thermodynamic analysis to include new cubic terms.

Findings

Derived a generalized Vaidya solution in five-dimensional cubic gravity.

Established thermodynamic laws for the apparent horizon in this gravity.

Provided entropy and energy expressions consistent with thermodynamic laws.

Abstract

We present a kind of generalized Vaidya solutions of a new cubic gravity in five dimensions whose field equations in spherically spacetime are always second order like the Lovelock gravity. We also study the thermodynamics of its apparent horizon and get its entropy expression and generalized Misner-Sharp energy. Finally we present the first law and second law hold in this gravity. Although all the results are analogue to those in Lovelock gravity, we in fact introduce the contribution of new cubic term in five dimensions where cubic Lovelock term is just zero.