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Black holes in multimetric gravity. II. Hairy solutions and linear stability of the non- and partially proportional branches

Title: Black holes in multimetric gravity. II. Hairy solutions and linear stability of the non- and partially proportional branches
Authors: Wood, Kieran; Saffin, Paul M.; Avgoustidis, Anastasios
Publisher Information: American Physical Society
Publication Year: 2025
Collection: University of Nottingham: Repository@Nottingham
Subject Terms: Alternative gravity theories; Classical black holes; Gravity in dimensions other than four; Gravitons
Description: Owing to our work in part I of this series of papers, it is understood that the analytically known black hole solutions in the theory of ghost-free multimetric gravity can be split into three distinct classes and that one of these classes—the proportional branch—exhibits the Gregory-Laflamme instability at linear level in the metric perturbations, whenever the black hole horizon size is smaller than (roughly) the Compton wavelength of the theory’s lightest massive graviton. In this first of two sequels, we determine the linear stability of the two remaining classes of black hole solutions—the nonproportional and partially proportional branches—and discuss how our results likely differ at nonlinear level. We also give a general prescription to construct multimetric solutions describing black holes endowed with massive graviton hair, which may constitute the end state of the instability in the proportional branch. We utilize a tractable example model involving three metrics to see how this works in practice and determine the asymptotic form of its corresponding hairy solutions at infinity, where one can clearly see the individual contributions from each of the graviton mass modes.
Document Type: article in journal/newspaper
Language: English
Relation: https://nottingham-repository.worktribe.com/output/44538466; Physical Review D; Volume 111; Issue 2
DOI: 10.1103/PhysRevD.111.024057
Availability: https://doi.org/10.1103/PhysRevD.111.024057; https://nottingham-repository.worktribe.com/file/44538466/1/Black%20holes%20in%20multimetric%20gravity.%20II.%20Hairy%20solutions%20and%20linear%20stability%20of%20the%20non-%20and%20partially%20proportional%20branches; https://nottingham-repository.worktribe.com/output/44538466
Rights: openAccess ; https://creativecommons.org/licenses/by/4.0/
Accession Number: edsbas.1D2D3143
Database: BASE