Vaidya Spacetime in Massive Gravity's Rainbow

TL;DR

This paper explores how massive gravity theories can be deformed by energy dependence using rainbow functions, analyzing a ghost-free, radiating Vaidya solution to understand the implications of energy-dependent modifications in gravity.

Contribution

It introduces an energy-dependent deformation framework for massive gravity using rainbow functions and applies it to a radiating Vaidya solution, ensuring ghost-free conditions.

Findings

Energy dependence significantly alters Vaidya spacetime properties.

The theory remains ghost-free under the proposed deformations.

Energy-dependent effects could impact gravitational phenomena at high energies.

Abstract

In this paper, we will analyze the energy dependent deformation of massive gravity using the formalism of massive gravity's rainbow. So, we will use the Vainshtein mechanism and the dRGT mechanism for the energy dependent massive gravity, and thus analyze a ghost free theory of massive gravity's rainbow. We study the energy dependence of a time-dependent geometry, by analyzing the radiating Vaidya solution in this theory of massive gravity's rainbow. The energy dependent deformation of this Vaidya metric will be performed using suitable rainbow functions.