Oscillations of tori in the pseudo-Newtonian potential
arXiv:0802.3856 · doi:10.1051/0004-6361:20065979
Abstract
Context. The high-frequency quasi-periodic oscillations (HF QPOs) in neutron star and stellar-mass black hole X-ray binaries may be the result of a resonance between the radial and vertical epicyclic oscillations in strong gravity. Aims. In this paper we investigate the resonant coupling between the epicyclic modes in a torus in a strong gravitational field. Methods. We perform numerical simulations of axisymmetric constant angular momentum tori in the pseudo-Newtonian potential. The epicyclic motion is excited by adding a constant radial velocity to the torus. Results. We verify that slender tori perform epicyclic motions at the frequencies of free particles, but the epicyclic frequencies decrease as the tori grow thicker. More importantly, and in contrast to previous numerical studies, we do not find a coupling between the radial and vertical epicyclic motions. The appearance of other modes than the radial epicyclic motion in our simulations is rather due to small numerical deviations from exact equilibrium in the initial state of our torus. Conclusions. We find that there is no pressure coupling between the two axisymmetric epicyclic modes as long as the torus is symmetric with respect to the equatorial plane. However we also find that there are other modes in the disc that may be more attractive for explaining the HF QPOs.
arXiv comment8 pages, 9 figures
References in corpus (18)
- Millisecond Oscillations in X-Ray Binaries
- A precise determination of angular momentum in the black hole candidate GRO J1655-40
- A New Simple Model for High Frequency Quasi Periodic Oscillations in Black Hole Candidates
- Oscillations of vertically integrated relativistic tori -- I. Axisymmetric modes in a Schwarzschild spacetime
- Discovery of a Second High Frequency QPO from the Microquasar GRS 1915+105
- Excitation of Disk Oscillations by Warps: A Model of kHz QPOs
- Evidence for a 2:3 resonance in Sco X-1 kHz QPOs
- The distribution of kHz QPO frequencies in bright LMXBs
- Non-linear resonance in the accretion disk of a millisecond pulsar
- Dynamics of oscillating relativistic tori around Kerr black holes
- Oscillation modes of relativistic slender tori
- Resonance in Forced Oscillations of an Accretion Disk and Kilohertz Quasi Periodic Oscillations
- Oscillations of vertically integrated relativistic tori -II. Axisymmetric modes in a Kerr spacetime
- A Vertical Resonances of G-Mode Oscillations in Warped Disks and QPOs in Low-Mass X-Ray Binaries
- QPO as the Rosetta Stone for understanding black hole accretion
- Oscillations of Thick Accretion Discs Around Black Holes
- Interpreting black hole QPOs
- Oscillations of Thick Accretion Discs Around Black Holes - II
Cited by in corpus (20)
- Multi-resonance orbital model of high-frequency quasi-periodic oscillations: possible high-precision determination of black hole and neutron star spin
- Confronting the models of 3:2 quasiperiodic oscillations with the rapid spin of the microquasar GRS 1915+105
- On mass-constraints implied by the relativistic precession model of twin-peak quasi-periodic oscillations in Circinus X-1
- Corotational Instability of Inertial-Acoustic Modes in Black Hole Accretion Discs and Quasi-Periodic Oscillations
- Resonant radii of kHz quasi-periodic oscillations in Keplerian discs orbiting neutron stars
- Epicyclic oscillations of non-slender fluid tori around Kerr black holes
- Weak nonlinear coupling between epicyclic modes in slender tori
- Power density spectra of modes of orbital motion in strongly curved spacetime: obtaining the observable signal
- Quasi-periodic oscillations from relativistic hydrodynamical slender tori
- Disc-oscillation resonance and neutron star QPOs: 3:2 epicyclic orbital model
- Black hole spin inferred from 3:2 epicyclic resonance model of high-frequency quasi-periodic oscillations
- Difficulties with the QPOs Resonance Model
- Epicyclic oscillations in the Hartle-Thorne external geometry
- Twin peak HF QPOs as a spectral imprint of dual oscillation modes of accretion tori
- Super-spinning compact objects and models of high-frequency quasi-periodic oscillations observed in Galactic microquasars. II. Forced resonances
- Appearance of innermost stable circular orbits of accretion discs around rotating neutron stars
- On one-parametric formula relating the frequencies of twin-peak quasi-periodic oscillations
- Papaloizou-Pringle Instability of Magnetized Accretion Tori
- Quasi-periodic oscillations of perturbed tori
- Accretion tori around rotating neutron stars II: Oscillations and precessions