Existence and instability of hairy black holes in shift-symmetric Horndeski theories
Justin Khoury, Mark Trodden, Sam S.C. Wong
Abstract
Shift-symmetric Horndeski theories admit an interesting class of Schwarzschild black hole solutions exhibiting time-dependent scalar hair. By making use of Lema\^{i}tre coordinates, we analyze perturbations around these types of black holes, and demonstrate that scalar perturbations around black hole backgrounds inevitably have gradient instabilities. Taken together with previously established results, this newly-discovered instability rules out black holes with time-dependent scalar hair in Horndeski theories.
Topics & Concepts
PhysicsInstabilityScalar (mathematics)Scalar fieldBlack hole (networking)Theoretical physicsClassical mechanicsCosmologyClass (philosophy)Primordial black holeScalar theories of gravitationCritical phenomenaQuantum electrodynamicsGravitationBlack braneSonic black holeQuasinormal modeBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesPulsars and Gravitational Waves Research