Epicyclic Oscillations of Fluid Bodies: Newtonian Nonslender Torus

Abstract

We study epicyclic oscillations of fluid tori around black holes (in the Paczynski-Wiita potential) and derive exact analytic expressions for their radial and vertical eigenfrequencies nu_r and nu_z to second-order accuracy in the width of the torus. We prove that pressure effects make the eigenfrequencies smaller than those for free particles. However, the particular ratio nu_z/nu_r=3/2, which is important for the theory of high-frequency quasi-periodic oscillations (QPOs), occurs when the fluid tori epicyclic frequencies nu_r and nu_z are about 15% higher than the ones corresponding to free particles. Our results therefore suggest that previous estimates of black hole spins from QPOs have produced values that are too high.

ApJ, in press

References in corpus (3)

• X-ray Properties of Black-Hole Binaries
• Testing Accretion Disk Theory in Black Hole X-ray Binaries
• Oscillation modes of relativistic slender tori

Cited by in corpus (32)

• Multi-resonance orbital model of high-frequency quasi-periodic oscillations: possible high-precision determination of black hole and neutron star spin
• Orbital resonances in discs around braneworld Kerr black holes
• Confronting the models of 3:2 quasiperiodic oscillations with the rapid spin of the microquasar GRS 1915+105
• Quasiperiodic oscillations in a strong gravitational field around neutron stars testing braneworld models
• High-Frequency and Type-C QPOs from Oscillating, Precessing Hot, Thick Flow
• 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
• Higher order nonlinearity in accretion disks: QPOs of black hole and neutron star sources and their spin
• Searching for the trigger of the AGN QPO: 8 years of RE J1034+396
• Diskoseismology and QPOs Confront Black Hole Spin
• Weak nonlinear coupling between epicyclic modes in slender tori
• Epicyclic oscillations of non-slender fluid tori around Kerr black holes
• Models of high-frequency quasi-periodic oscillations and black hole spin estimates in Galactic microquasars
• On the development of the Papaloizou-Pringle instability of the black hole-torus systems and quasi-periodic oscillations
• Internal resonance in non-linear disk oscillations and the amplitude evolution of neutron star kilohertz QPOs
• Quasi-periodic oscillations from relativistic hydrodynamical slender tori
• Black hole spin inferred from 3:2 epicyclic resonance model of high-frequency quasi-periodic oscillations
• Disc-oscillation resonance and neutron star QPOs: 3:2 epicyclic orbital model
• Time variability of accretion flows: effects of the adiabatic index and gas temperature
• Search for chaos in neutron star systems: Is Cyg X-3 a black hole?
• Period doubling and non-linear resonance in the black hole candidate IGR J17091-3624 ?
• Neutron Star QPOs from Oscillating, Precessing Hot, Thick Flow
• Oscillations of radiation pressure supported tori near black holes
• Papaloizou-Pringle Instability of Magnetized Accretion Tori
• Quasi-periodic oscillations of perturbed tori
• Magnetized SASI: its mechanism and possible connection to some QPOs in XRBs
• Polynomial approximation of the Lense-Thirring rigid precession frequency
• Alpha-viscosity effects in slender tori
• Misalignment of the Lense-Thirring precession by an accretion torque
• Oscillations of Fluid Tori around Neutron Stars
• Local Analysis of Nonlinear Oscillations of Thin Accretion Disks
• Multi-resonance orbital model applied to high-frequency quasi-periodic oscillations observed in Sgr A*