Constraining the Johannsen deformation parameter ${\epsilon }_3$ with black hole X-ray data

Abstract

We extend our previous work on tests of the Kerr black hole hypothesis using X-ray reflection spectroscopy and we infer observational constraints on the Johannsen deformation parameter ${\epsilon }_3$. We analyze a NuSTAR observation of the stellar-mass black hole in GS 1354-645, Suzaku data of the supermassive black holes in Ark 564, 1H0419-577, and PKS 0558-504, and some simultaneous XMM-Newton and NuSTAR observations of the supermassive black hole in MCG-6-30-15. All our measurements of ${\epsilon }_3$ are consistent with the Kerr metric and we find quite strong constraints from Ark 564 and MCG-6-30-15. We discuss the implications of our results and the next steps to improve our tests.

10 pages, 7 figures. v2: refereed version

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Cited by in corpus (4)

• XSPEC model for testing the Kerr black hole hypothesis using the continuum-fitting method
• Testing the Kerr hypothesis using X-ray reflection spectroscopy with NuSTAR data of Cygnus X-1 in the soft state
• X-ray reflection spectroscopy with Kaluza-Klein black holes
• Constraining the Konoplya-Rezzolla-Zhidenko deformation parameters II: limits from stellar-mass black hole X-ray data