Black holes with massive graviton hair

TL;DR

This paper demonstrates that black holes can support massive graviton hair in theories of massive gravity, challenging traditional no-hair theorems and suggesting new stable black hole solutions.

Contribution

It explicitly constructs nonlinear solutions showing black holes can have massive graviton hair, a novel feature in massive gravity theories.

Findings

Black holes can support massive graviton hair.

Hairy solutions are likely the end state of monopole instability.

Challenges no-hair theorems in the context of massive gravity.

Abstract

No-hair theorems exclude the existence of nontrivial scalar and massive vector hair outside four-dimensional, static, asymptotically flat black-hole spacetimes. We show, by explicitly building nonlinear solutions, that black holes can support massive graviton hair in theories of massive gravity. These hairy solutions are, most likely, the generic end state of the recently discovered monopole instability of Schwarzschild black holes in massive graviton theories.