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Testing No-Hair Theorem by Quasi-Periodic Oscillations: the quadrupole of GRO J1655$-$40
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abstract
We perform an observational test of no-hair theorem using quasi-periodic oscillations within the relativistic precession model. Two well motivated metrics we apply are Kerr-Q and Hartle-Thorne metrics in which the quadrupole is the parameter that possibly encodes deviations from the Kerr black hole. The expressions for the quasi-periodic frequencies are derived before comparing the models with the observation. We encounter a degeneracy in constraining spin and quadrupole parameters that makes it difficult to measure their values. In particular, we here propose a novel test of no-hair theorem by adapting the Hartle-Thorne metric. It turns out that a Kerr black hole is a good description of the central object in GRO J1655$-$40 given the present observational precisions.
Forward citations
Cited by 2 Pith papers
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Mapping Quasi-Periodic Oscillations to Lyapunov Exponent across Black Hole Thermodynamic Phase Transitions
For a nonminimally coupled magnetic AdS black hole, the Lyapunov exponent and QPO frequencies both reproduce the swallowtail branch structure of the Van der Waals-like thermodynamic phase transition.
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Testing loop quantum gravity by quasi-periodic oscillations: rotating blackholes
QPO data from GRO J1655-40 constrain the LQG parameter λ in the BCY rotating black hole metric to 0.15 (equal mass) and 0.11 (unequal mass), both consistent with Kerr.
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