2020
DOI: 10.1103/physrevd.101.044051
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Eikonal quasinormal modes of black holes beyond general relativity. II. Generalized scalar-tensor perturbations

Abstract: Black hole 'spectroscopy', i.e. the identification of quasinormal mode frequencies via gravitational wave observations, is a powerful technique for testing the general relativistic nature of black holes. In theories of gravity beyond general relativity perturbed black holes are typically described by a set of coupled wave equations for the tensorial field and the extra scalar/vector degrees of freedom, thus leading to a theory-specific quasinormal mode spectrum. In this paper we use the eikonal/geometric optic… Show more

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Cited by 42 publications
(28 citation statements)
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“…[39] for a review). In this section, we shall follow the method developed in [40][41][42][43] and compute the leading corrections on the quasinormal frequency caused by the higherdimensional operators. The idea of this method is to make use of the asymptotical flatness of the background solution to parametrize the EFT corrections that they enter master equations (2.18) as a power-law expansion of the form…”
Section: Quasinormal Modesmentioning
confidence: 99%
“…[39] for a review). In this section, we shall follow the method developed in [40][41][42][43] and compute the leading corrections on the quasinormal frequency caused by the higherdimensional operators. The idea of this method is to make use of the asymptotical flatness of the background solution to parametrize the EFT corrections that they enter master equations (2.18) as a power-law expansion of the form…”
Section: Quasinormal Modesmentioning
confidence: 99%
“…In order to compute all of these coefficients, we have performed a numerical integration of Eqs. ( 46), ( 42) and ( 49)- (50). This allows us to obtain the fundamental QNM frequencies for a range of values of χ and the corresponding coupling, λ ev or λ odd .…”
Section: A Cubic Correctionsmentioning
confidence: 99%
“…Here we show the higher-derivative contributions to the effective potentials in equations ( 43) and (47), as well as the coupling terms in ( 49)- (50).…”
Section: Appendix B: Integrals Of Associated Legendre Functionsmentioning
confidence: 99%
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“…(3) A third approach is to parametrize the deviations from general relativistic expectations in a model-independent way. This can take the form of a phenomenological parametrization such as [27][28][29][30][31][32], or a parametrization at the level of the action governing the dynamics of black hole perturbations [33][34][35][36][37]. It is the last approach that is the subject of this paper.…”
Section: Jhep12(2021)183 1 Introductionmentioning
confidence: 99%