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Constraining the Konoplya-Rezzolla-Zhidenko deformation parameters. II. Limits from stellar-mass black hole x-ray data

Zhibo YuCenter for Field Theory and Particle Physics and Department of Physics, Fudan University, 200438 Shanghai, ChinaQunfeng JiangCenter for Field Theory and Particle Physics and Department of Physics, Fudan University, 200438 Shanghai, ChinaAskar B. AbdikamalovCenter for Field Theory and Particle Physics and Department of Physics, Fudan University, 200438 Shanghai, ChinaDimitry AyzenbergTheoretical Astrophysics, Eberhard-Karls Universität Tübingen, D-72076 Tübingen, GermanyCosimo BambiCenter for Field Theory and Particle Physics and Department of Physics, Fudan University, 200438 Shanghai, ChinaH. LiuCenter for Field Theory and Particle Physics and Department of Physics, Fudan University, 200438 Shanghai, ChinaSourabh NampalliwarTheoretical Astrophysics, Eberhard-Karls Universität Tübingen, D-72076 Tübingen, GermanyAshutosh TripathiCenter for Field Theory and Particle Physics and Department of Physics, Fudan University, 200438 Shanghai, China
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Astrophysical black holes are thought to be the Kerr black holes predicted by general relativity, but macroscopic deviations from the Kerr solution can be expected from a number of scenarios involving new physics. In Paper I, we studied the reflection features in NuSTAR and XMM-Newton spectra of the supermassive black hole at the center of the galaxy MCG--06--30--15 and we constrained a set of deformation parameters proposed by Konoplya, Rezzolla, and Zhidenko (Phys. Rev. D 93, 064015, 2016). In the present work, we analyze the x-ray data of a stellar-mass black hole within the same theoretical framework in order to probe a different curvature regime. We consider a NuSTAR observation of the x-ray binary EXO 1846--031 during its outburst in 2019. As in the case of Paper I, all our fits are consistent with the Kerr black hole hypothesis, but some deformation parameters cannot be constrained well.

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