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Article Dans Une Revue JCAP Année : 2023

Axial perturbations of black holes in scalar-tensor gravity: near-horizon behaviour

Résumé

We consider axial (or odd-parity) perturbations of non-spinning hairy black holes (BH) in shift-symmetric DHOST (Degenerate Higher-Order Scalar-Tensor) theories, including terms quartic and cubic in second derivatives of the scalar field. We give a new formulation of the effective metric in which axial perturbations propagate as in general relativity. We then introduce a generic parametrization of the effective metric in the vicinity of the background BH horizon. Writing the dynamics of the perturbations in terms of a Schrödinger-like operator, we discuss in which cases the operator is (essentially) self-adjoint, thus leading to an unambiguous time evolution, according to the choice of parameters characterizing the near-horizon effective metric. This is in particular useful to investigate the stability of the perturbations. We finally illustrate our general analysis with two examples of BH solutions.
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Dates et versions

hal-04080082 , version 1 (20-03-2024)

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Karim Noui, Hugo Roussille, David Langlois. Axial perturbations of black holes in scalar-tensor gravity: near-horizon behaviour. JCAP, 2023, 11, pp.040. ⟨10.1088/1475-7516/2023/11/040⟩. ⟨hal-04080082⟩
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