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arXiv · 2309.10021

Relativistic perturbation theory for black-hole boson clouds

Enrico Cannizzaro·Laura Sberna·Stephen R. Green·Stefan Hollands
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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.

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Enrico Cannizzaro, Laura Sberna, Stephen R. Green, Stefan Hollands. 2023-09-18. Relativistic perturbation theory for black-hole boson clouds. https://doi.org/10.1103/physrevlett.132.051401

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