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Paper   IPM / Astronomy / 17432
School of Astronomy
  Title:   Testing no-hair theorem by quasi-periodic oscillations: the quadrupole of GRO J1655-40
1.  A. Allahyari
2.  L. Shao
  Status:   Published
  Journal: JCAP
  Vol.:  2021
  Year:  2022
  Supported by:            ipm IPM
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 J1655â??40 given the present observational precisions.

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