Testing No-Hair Theorem by Quasi-Periodic Oscillations: the quadrupole of GRO J165540
arXiv:2102.02232 · doi:10.1088/1475-7516/2021/10/003
Abstract
We perform an observational test of no-hair theorem using quasi-periodic oscillations within the relativistic precession model. Two well motivated metrics we apply are Kerr-Q and Hartle-Thorne metrics in which the quadrupole is the parameter that possibly encodes deviations from the Kerr black hole. The expressions for the quasi-periodic frequencies are derived before comparing the models with the observation. We encounter a degeneracy in constraining spin and quadrupole parameters that makes it difficult to measure their values. In particular, we here propose a novel test of no-hair theorem by adapting the Hartle-Thorne metric. It turns out that a Kerr black hole is a good description of the central object in GRO J165540 given the present observational precisions.
arXiv comment20 pages, 8 figures, 1 table, improved version, accepted for publication in JCAP
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