Holographic Thermalization and Generalized Vaidya-AdS Solutions in Massive Gravity

TL;DR

This paper explores how massive gravitons influence holographic thermalization by deriving generalized Vaidya-AdS solutions in massive gravity and analyzing the effects on dual field theory thermalization processes.

Contribution

It introduces generalized Vaidya-AdS solutions in dRGT massive gravity and studies the impact of graviton mass on holographic thermalization using two-point correlation functions.

Findings

Graviton mass increases the rate of holographic thermalization.

Massive gravity solutions are thermodynamically in equilibrium.

Thermodynamics analyzed via Misner-Sharp energy and first law.

Abstract

We investigate the effect of massive graviton on the holographic thermalization process. Before doing this, we first find out the generalized Vaidya-AdS solutions in the de Rham-Gabadadze-Tolley (dRGT) massive gravity by directly solving the gravitational equations. Then, we study the thermodynamics of these Vaidya-AdS solutions by using the Minsner-Sharp energy and unified first law, which also shows that the massive gravity is in a thermodynamic equilibrium state. Moreover, we adopt the two-point correlation function at equal time to explore the thermalization process in the dual field theory, and to see how the graviton mass parameter affects this process from the viewpoint of AdS/CFT correspondence. Our results show that the graviton mass parameter will increase the holographic thermalization process.