No-Hair Theorem for the Galileon

2012/02/06 by Lam Hui, Alberto Nicolis · 2 citations
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Born–Infeld model #Classical mechanics #Cosmology and Gravitation Theories #Covariant transformation #Field (mathematics) #Gravitation #Graviton #Massive gravity #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum mechanics #Relativity and Gravitational Theory #Theoretical physics #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevlett.110.241104

4 pages

arxiv created 2012/02/06 · openalex publication_date 2013/06/14 · arxiv updated 2013/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 nontrivial Galileon profiles. Our theorem holds for trivial boundary conditions and for cosmological ones, and regardless of whether there are nonminimal couplings between the Galileon and gravity of the covariant Galileon type.

Citations

• Resummation of Massive Gravity
• The galileon as a local modification of gravity
• Black holes with hair
• Covariant Galileon

Cited by

• DBI Galileons in the Einstein frame: Local gravity and cosmology
• Black hole perturbations in vector-tensor theories: the odd-mode analysis
• Growth of accretion driven scalar hair around Kerr black holes