Eikonal quasinormal modes of black holes beyond general relativity II: generalised 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 optics approximation to obtain analytic formulae for the frequency and damping rate of the fundamental quasinormal mode of a generalised, theory-agnostic system of equations describing coupled scalar-tensor perturbations of spherically symmetric black holes. Representing an extension of our recent work, the present model includes a massive scalar field, couplings through the field derivatives and first-order frame dragging rotational corrections. Moving away from spherical symmetry, we consider the simple model of the scalar wave equation in a general stationary-axisymmetric spacetime and use the eikonal approximation to compute the quasinormal modes associated with equatorial and nonequatorial photon rings.

11 pages. v2: matches published version

References in corpus (8)

• A Metric for Rapidly Spinning Black Holes Suitable for Strong-Field Tests of the No-Hair Theorem
• Testing the black hole "no-hair" hypothesis
• Quasinormal-mode spectrum of Kerr black holes and its geometric interpretation
• Matched-filtering and parameter estimation of ringdown waveforms
• The Quasinormal Mode Spectrum of a Kerr Black Hole in the Eikonal Limit
• Parametrized ringdown spin expansion coefficients: a data-analysis framework for black-hole spectroscopy with multiple events
• Post-Kerr black hole spectroscopy
• Forecasts for Low Spin Black Hole Spectroscopy in Horndeski Gravity

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