Parametrized black hole quasinormal ringdown. II. Coupled equations and quadratic corrections for nonrotating black holes
| Autor: | Ryan McManus, Masashi Kimura, Caio F. B. Macedo, Vitor Cardoso, Emanuele Berti, Andrea Maselli |
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| Rok vydání: | 2019 |
| Předmět: |
Astrophysics and Astronomy
General relativity gr-qc FOS: Physical sciences Perturbation (astronomy) General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology Gravitational field 0103 physical sciences Quasinormal mode 010306 general physics Mathematical physics astro-ph.HE High Energy Astrophysical Phenomena (astro-ph.HE) Gravitational waves black holes strong gravity Physics General Relativity and Cosmology 010308 nuclear & particles physics Degenerate energy levels Wave equation 3. Good health Black hole Astrophysics - High Energy Astrophysical Phenomena Parametrization |
| Zdroj: | Physical Review D |
| ISSN: | 2470-0029 2470-0010 |
| DOI: | 10.1103/physrevd.100.044061 |
| Popis: | Linear perturbations of spherically symmetric spacetimes in general relativity are described by radial wave equations, with potentials that depend on the spin of the perturbing field. In previous work we studied the quasinormal mode spectrum of spacetimes for which the radial potentials are slightly modified from their general relativistic form, writing generic small modifications as a power-series expansion in the radial coordinate. We assumed that the perturbations in the quasinormal frequencies are linear in some perturbative parameter, and that there is no coupling between the perturbation equations. In general, matter fields and modifications to the gravitational field equations lead to coupled wave equations. Here we extend our previous analysis in two important ways: we study second-order corrections in the perturbative parameter, and we address the more complex (and realistic) case of coupled wave equations. We highlight the special nature of coupling-induced corrections when two of the wave equations have degenerate spectra, and we provide a ready-to-use recipe to compute quasinormal modes. We illustrate the power of our parametrization by applying it to various examples, including dynamical Chern-Simons gravity, Horndeski gravity and an effective field theory-inspired model. Comment: 14 pages, 5 figures, 3 tables. Tabulated coefficients for generic QNM calculations are available online (see the conclusions for a computational recipe). v2: fixed minor typos to match version in press in PRD. v3: added a few references, matches version published in PRD |
| Databáze: | OpenAIRE |
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