Black holes in multimetric gravity

Wood, Kieran; Saffin, Paul M.; Avgoustidis, Anastasios

Abstract

We construct a wide class of black hole solutions to the general theory of ghost-free multimetric gravity in arbitrary spacetime dimension, extending and generalizing the known results in four-dimensional dRGT massive gravity and bigravity. The solutions are split into three generic classes based on whether the metrics can be simultaneously diagonalized—one of which does not exist in dRGT massive gravity nor bigravity, and is only possible when one has more than two interacting metric fields. We also linearize the general multimetric theory to determine the dynamics of the massive spin-2 modes, including examples where this can be done analytically, and use the linear theory to discuss the stability of the four-dimensional multi-Schwarzschild and multi-Kerr solutions. We explain how the instabilities that plague these solutions in dRGT massive gravity and bigravity carry across to the general multimetric theory, touching upon ideas of dimensional deconstruction to make sense of the results.

Citation

Wood, K., Saffin, P. M., & Avgoustidis, A. (2024). Black holes in multimetric gravity. Physical Review D, 109(12), Article 124006. https://doi.org/10.1103/physrevd.109.124006

• Journal Article Type: Article
• Acceptance Date: May 2, 2024
• Online Publication Date: Jun 4, 2024
• Publication Date: Jun 12, 2024
• Deposit Date: Jul 25, 2024
• Publicly Available Date: Jul 25, 2024
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Electronic ISSN: 2470-0029
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 109
• Issue: 12
• Article Number: 124006
• DOI: https://doi.org/10.1103/physrevd.109.124006
• Public URL: https://nottingham-repository.worktribe.com/output/35734700
• Publisher URL: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.109.124006