Hairy black holes in theories with massive gravitons

TL;DR

This paper surveys black hole solutions in ghost-free bigravity and massive gravity theories, highlighting that astrophysically relevant black holes resemble those in General Relativity, making graviton mass detection via black holes challenging.

Contribution

It provides a comprehensive overview of black hole solutions in massive gravity theories and discusses their similarities to General Relativity solutions.

Findings

Astrophysically relevant black holes are similar to those in GR.

Black hole solutions with massive graviton hair are known.

Detecting graviton mass via black hole observations is difficult.

Abstract

This is a brief survey of the known black hole solutions in the theories of ghost-free bigravity and massive gravity. Various black holes exist in these theories, in particular those supporting a massive graviton hair. However, it seems that solutions which could be astrophysically relevant are the same as in General Relativity, or very close to them. Therefore, the no-hair conjecture essentially applies, and so it would be hard to detect the graviton mass by observing black holes.