A no-hair theorem for the galileon

TL;DR

This paper proves that static, spherically symmetric black holes cannot support non-trivial galileon fields, extending no-hair theorems to theories with derivative interactions that usually evade standard proofs.

Contribution

It establishes a no-hair theorem for galileon fields coupled to gravity, regardless of non-minimal covariant couplings, filling a gap in black hole uniqueness results.

Findings

Black holes cannot have non-trivial galileon profiles.

The no-hair theorem applies even with derivative interactions.

Results hold for covariant galileon couplings.

Abstract

We consider a galileon field coupled to gravity. The standard no-hair theorems do not apply, because of the galileon's peculiar derivative interactions. We prove that, nonetheless, static spherically symmetric black holes cannot sustain non-trivial galileon profiles. Our theorem holds regardless of whether there are non-minimal couplings between the galileon and gravity of the covariant galileon type.