Polynomial approximation of the Lense-Thirring rigid precession frequency

Abstract

We propose a polynomial approximation of the global Lense-Thirring rigid precession frequency to study low frequency quasi-periodic oscillations around spinning black holes. This high-performing approximation allows to determine the expected frequencies of a precessing thick accretion disc with fixed inner radius and variable outer radius around a black hole with given mass and spin. We discuss the accuracy and the applicability regions of our polynomial approximation, showing that the computational times are reduced by a factor of $\approx 70$ in the range of minutes.

5 pages, 6 figures

References in corpus (7)

• Modelling the behaviour of accretion flows in X-ray binaries
• Global General Relativistic MHD Simulation of a Tilted Black-Hole Accretion Disk
• Geometrical constraints on the origin of timing signals from black holes
• Transient Black Hole Binaries
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Cited by in corpus (3)

• A review of quasi-periodic oscillations from black hole X-ray binaries: observation and theory
• Black hole spin from wobbling and rotation of the M87 jet and a sign of a magnetically arrested disc
• Misalignment of the Lense-Thirring precession by an accretion torque