Mass of intermediate black hole in the source M82 X1 restricted by models of twin highfrequency quasiperiodic oscillations
Abstract
We apply the relativistic precession (RP) model with its variants and the resonance epicyclic model with its variants, based on the frequencies of the geodesic epicyclic motion in the field of a Kerr black hole, to put limits on the mass of the black hole in the ultraluminous Xray source M82 X1 demonstrating twin highfrequency quasiperiodic oscillations (HF QPOs) with the frequency ratio near 3:2. The mass limits implied by the geodesic HF QPO models are compared to those obtained due to the model of string loop oscillations around a stable equilibrium position. Assuming the whole range of the black hole dimensionless spin, 0 < a < 1, the restrictions on the black hole mass related to the twin HF QPOs are widely extended and strongly model dependent; nevertheless, they give the lower limit M_{M82 X1} > 130 M_{☉} confirming existence of an intermediate black hole in the M82 X1 source. The upper limit given by one of the variants of the geodesic twin HF QPO models goes up to M_{M82 X1}<1500 M_{☉}. The range 37210 mHz of the lowfrequency QPOs observed in the M82 X1 source introduces additional restrictive limits on the black hole mass, if we model the lowfrequency QPOs by nodal precession of the epicyclic motion. The nodal precession model restrictions combined with those implied by the geodesic models of the twin HF QPOs give allowed ranges of the M82 X1 black hole parameters, namely 140 M_{☉}<M_{M82 X1}<660 M_{☉} for the mass parameter and 0.05<a_{M82 X1}<0.6 for the spin parameter.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 August 2015
 DOI:
 10.1093/mnras/stv1120
 arXiv:
 arXiv:1603.07339
 Bibcode:
 2015MNRAS.451.2575S
 Keywords:

 black hole physics;
 Xrays: individual: M82 X1;
 Astrophysics  High Energy Astrophysical Phenomena
 EPrint:
 Monthly Notices of the Royal Astronomical Society, Volume 451, Issue 3, p.25752588 (2015)