Testing No-Hair Theorem by Quasi-Periodic Oscillations: the quadrupole of GRO J1655$-$40

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 J1655$-$40 given the present observational precisions.

20 pages, 8 figures, 1 table, improved version, accepted for publication in JCAP

References in corpus (13)

• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog
• A Metric for Rapidly Spinning Black Holes Suitable for Strong-Field Tests of the No-Hair Theorem
• A review of quasi-periodic oscillations from black hole X-ray binaries: observation and theory
• A 400 solar mass black hole in the Ultraluminous X-ray source M82 X-1 accreting close to its Eddington limit
• Quasinormal modes, quasiperiodic oscillations and shadow of rotating regular black holes in non-minimally coupled Einstein-Yang-Mills theory
• Testing Gravity with Quasi Periodic Oscillations from accreting Black Holes: the Case of Einstein-Dilaton-Gauss-Bonnet Theory
• Iron K$\alpha$ line of Kerr black holes with scalar hair
• Testing General Relativity with Accretion-Flow Imaging of Sgr A*
• Orbital mechanics and quasiperiodic oscillation resonances of black holes in Einstein-Æther theory
• Solutions to the relativistic precession model
• Quasinormal Modes of Generalized Black Holes: delta-Kerr Spacetime

Cited by in corpus (4)

• Testing Kerr Black Hole Mimickers with Quasi-Periodic Oscillations from GRO J1655-40
• Constraint on parameters of a rotating black hole in Einstein-bumblebee theory by quasi-periodic oscillations
• Testing gravity of a disformal Kerr black hole in quadratic degenerate higher-order scalar-tensor theories by quasi-periodic oscillations
• Testing General Relativity using Quasi-Periodic Oscillations from X-ray Black Holes: XTE J1550-564 and GRO J1655-40