Relativistic Perturbation Theory for Black-Hole Boson Clouds

Cannizzaro, Enrico; Sberna, Laura; Green, Stephen R.; Hollands, Stefan

Abstract

We develop a relativistic perturbation theory for scalar clouds around rotating black holes. We first introduce a relativistic product and corresponding orthogonality relation between modes, extending a recent result for gravitational perturbations. We then derive the analog of time-dependent perturbation theory in quantum mechanics, and apply it to calculate self-gravitational frequency shifts. This approach supersedes the nonrelativistic “gravitational atom” approximation, brings close agreement with numerical relativity, and has practical applications for gravitational-wave astronomy.

Citation

Cannizzaro, E., Sberna, L., Green, S. R., & Hollands, S. (2024). Relativistic Perturbation Theory for Black-Hole Boson Clouds. Physical Review Letters, 132(5), Article 051401. https://doi.org/10.1103/PhysRevLett.132.051401

• Journal Article Type: Article
• Acceptance Date: Dec 15, 2023
• Online Publication Date: Jan 31, 2024
• Publication Date: Feb 2, 2024
• Deposit Date: Feb 4, 2024
• Publicly Available Date: Feb 13, 2024
• Journal: Physical Review Letters
• Print ISSN: 0031-9007
• Electronic ISSN: 1079-7114
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 132
• Issue: 5
• Article Number: 051401
• DOI: https://doi.org/10.1103/PhysRevLett.132.051401
• Keywords: Classical black holes; General relativity formalism; Gravitational wave sources; Particle dark matter; Hypothetical scalars
• Public URL: https://nottingham-repository.worktribe.com/output/30665347
• Publisher URL: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.132.051401