Constraining the Konoplya-Rezzolla-Zhidenko deformation parameters II: limits from stellar-mass black hole X-ray data

Yu, Zhibo; Jiang, Qunfeng; Abdikamalov, Askar B.; Ayzenberg, Dimitry; Bambi, Cosimo; Liu, Honghui; Nampalliwar, Sourabh; Tripathi, Ashutosh

doi:10.48550/arxiv.2106.11658

Cited by 1 publication

(1 citation statement)

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“…Therefore, a number of phenomena, such as radius of shadows, characteristics of particle motion and accretion are intrinsically linked to the eikonal quasinormal modes as well. In this context, despite a number of papers on testing of the parametrized black holes [21][22][23][24][25][26][27], no convincing work has been done so far for the characteristics beyond the eikonal regime, that is not connected to particle motion. First of all, no such analysis was suggested for the low-lying quasinormal modes, which are especially important because they dominate in a signal.…”

Section: Introductionmentioning

confidence: 99%

Quasinormal ringing of general spherically symmetric parametrized black holes

Konoplya,

Zhidenko

2022

Preprint

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The general parametrization of spherically symmetric and asymptotically flat black-hole spacetimes in arbitrary metric theories of gravity was suggested in [3]. The parametrization is based on the continued fraction expansion in terms of the compact radial coordinate, has superior convergence and strict hierarchy of parameters. It is known that some observable quantities, related to particle motion around the black hole, such as the eikonal quasinormal modes, radius of the shadow, frequency at the innermost stable circular orbit and others, depend mostly on only a few lowest coefficients of the parametrization. Here we continue this approach by studying the dominant (low-lying) quasinormal modes for such generally parametrized black holes. We show that, due to the hierarchy of parameters, the dominant quasinormal frequencies are also well determined by only the first few coefficients of the expansion for the so called moderate black-hole geometries. The latter are characterized by relatively slow change of the metric functions in the radiation zone near the black hole. The non-moderate metrics, which change strongly between the event horizon and the innermost stable circular orbit are usually characterized by echoes or by too distinctive (from the Einstein case) quasinormal ringing which does not match the current observational data. Therefore, the compact description of a black-hole spacetime in terms of the truncated general parametrization is an effective formalism for testing strong gravity and imposing constrains on allowed black-hole geometries.

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