A no-hair theorem for the galileon

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.

4 pages

References in corpus (8)

• Resummation of Massive Gravity
• Covariant Galileon
• Equivalence Principle Implications of Modified Gravity Models
• On Black Holes in Massive Gravity
• Symmetries for Galileons and DBI scalars on curved space
• Galileon Hairs of Dyson Spheres, Vainshtein's Coiffure and Hirsute Bubbles
• An observational test of the Vainshtein mechanism
• Derrick's theorem beyond a potential

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