Universal instability of hairy black holes in Lovelock-Galileon theories inDdimensions

2015/11/30 by Kazufumi Takahashi, Teruaki Suyama, Tsutomu Kobayashi
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geometry #Horizon #Instability #Mathematical physics #Mathematics #Order (exchange) #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Scalar (mathematics) #Scalar field #Tensor (intrinsic definition) #gr-qc

paper · pdf · doi:10.1103/physrevd.93.064068

published as Phys. Rev. D 93, 064068 (2016) · 14 pages; matches published version

openalex publication_date 2016/03/28 · arxiv created 2016/03/30 · arxiv updated 2016/04/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We analyze spherically symmetric black hole solutions with time-dependent scalar hair in a class of Lovelock-Galileon theories, which are the scalar-tensor theories with second-order field equations in arbitrary dimensions. We first show that known black hole solutions in five dimensions are always plagued by the ghost/gradient instability in the vicinity of the horizon. We then generalize such black hole solutions to higher dimensions and show that the same instability found in five dimensions appears universally in any number of dimensions.

Citations

• Symmetric tensor spherical harmonics on the N-sphere and their application to the de Sitter group SO(N,1)
• Second-order scalar-tensor field equations in a four-dimensional space
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Generalized G-inflation: Inflation with the most general second-order field equations