Models of quasi-periodic oscillations related to mass and spin of the GRO J1655-40 black hole

Abstract

Frequencies of the three quasi-periodic oscillation (QPO) modes observed simultaneously in the accreting black hole GRO J1655-40 are compared with the predictions of models. Models in which all three QPO signals are produced at the same radius are considered: these include different versions of relativistic precession, epicyclic resonance, tidal disruption, and warped disc models. Models that were originally proposed to interpret only the twin high-frequency QPOs are generalized here to interpret also the low-frequency QPO in terms of relativistic nodal precession. Inferred values of the black hole mass and spin from each QPO model are compared with the mass measured from optical observations and the spin inferred from X-ray spectroscopy techniques. We find that along with the relativistic precession model predicting M = (5.3 ± 0.1) M , a = 0.286 ± 0.004, the so-called total precession model (M = (5.5 ± 0.1) M , a = 0.276 ± 0.003), and the resonance epicyclic model with beat frequency (M = (5.1 ± 0.1) M , a = 0.274 ± 0.003) also satisfy the optical mass test.

Possible signature of the magnetic fields related to quasi-periodic oscillations observed in microquasars

“…The models of twin HF QPOs involving the orbital motion of matter around black hole can be generally separated into four classes: the hot spot models (the relativistic precession model and its variations [39,49], the tidal precession model [25]), resonance models [48,50,51] and disk oscillation (diskoseismic) models [29,35]. These models were applied to match the twin HF QPOs and the LF QPO for the microquasar GRO J1655-40 in [47]. Of course, the models can be applied also for intermediate massive black holes [44].…”

Geodesic Models of Quasi-periodic-oscillations as Probes of Quadratic Gravity

“…are considered. The ERM, originally developed to interpret only the twin HF QPOs, has been extended to interpret the LF QPO mode in terms of ν nod (as in the RPM), and thus interpret the simultaneous occurrence of the three frequencies associated with GRO J1655-40 (Stuchlík & Kološ 2016). Among all possibilities discussed by these authors, we consider here the case in which the two HF QPOs are identified with ν upper = ν θ and ν lower = ν − .…”

Harmonic oscillations of neutral particles in the γ metric

“…The frequencies of quasiperiodic oscillations in the Schwarzschild metric were studied for example in [16,17], while for the Kerr metric they have been studied in various physical scenarios, for example in [18][19][20]. The application to astrophysics and the study of astrophysical black holes was discussed in [21][22][23][24][25][26][27].…”