Time Dependent Geometry in Massive Gravity

TL;DR

This paper investigates time-dependent Vaidya space-time solutions in ghost-free massive gravity, analyzing singularities and thermodynamics to understand gravitational collapse in such theories.

Contribution

It constructs and analyzes time-dependent solutions in massive gravity using Vaidya space-time, including singularity and thermodynamic behavior, which is a novel approach in this context.

Findings

Singularities are formed and characterized in the solutions.

Thermodynamical quantities are computed and their behavior analyzed.

Time-dependent solutions in massive gravity are successfully constructed.

Abstract

In this paper, we will analyze a time dependent geometry in a massive theory of gravity. This will be done by analyzing Vaidya space-time in such a massive theory of gravity. As gravitational collapse is a time dependent system, we will analyze it using the Vaidya space-time in massive gravity. The Vainshtein and dRGT mechanisms are used to obtain a ghost free massive gravity, and construct such time dependent solutions. Singularities formed, their nature and strength will be studied in detail. We will also study the thermodynamical aspects of such a geometry by calculating the important thermodynamical quantities for such a system, and analyzing the thermodynamical behavior of such quantities.