Relativistic perturbation theory for black-hole boson clouds
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 non-relativistic "gravitational atom" approximation, brings close agreement with numerical relativity, and has practical applications for gravitational-wave astronomy.
Keywords
Cite
@article{arxiv.2309.10021,
title = {Relativistic perturbation theory for black-hole boson clouds},
author = {Enrico Cannizzaro and Laura Sberna and Stephen R. Green and Stefan Hollands},
journal= {arXiv preprint arXiv:2309.10021},
year = {2024}
}
Comments
7+4 pages, 2+1 figures. v2: improved derivation of the main result, including two new appendices, and other minor changes. matches version accepted for publication in PRL