Vaidya Spacetime in Massive Gravity's Rainbow

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.

13 pages, 8 figures

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• Observational Constraints on Asymptotic Safety Inflation in Gravity Rainbow
• Gamma Ray Bursters and Black Holes in the Gravity's Rainbow