Kerr-Schild solutions in Multigravity and the Classical Double Copy

TL;DR

This paper derives new exact solutions in multigravity using Kerr-Schild forms and extends classical double copy relations, enhancing understanding of multigravity solutions and their gauge theory counterparts.

Contribution

It introduces new exact solutions in multigravity in Kerr-Schild forms and extends classical double copy relations to the multigravity context.

Findings

Derived new proportional Kerr-Schild solutions in multigravity.

Extended classical double copy relations to multigravity solutions.

Analyzed dynamics of single and zero copy fields in multigravity.

Abstract

We explore the multimetric theory of gravitation, also known as multigravity. We derive additional new exact solutions for the theory in proportional Kerr-Schild and double Kerr-Schild forms. We extend several solutions from the theory of General Relativity, characterized by a constant Ricci scalar in single and double Kerr-Schild forms, to derive solutions in the multi-gravity context. We also examine and extend the classical double copy relations that can be constructed out from these solutions in multigravity exploring the dynamics of the single copy and zero copy fields.