Journal Article

Lindblad resonance torques in relativistic discs – I. Basic equations

Christopher M. Hirata

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 414, issue 4, pages 3198-3211
Published in print July 2011 | ISSN: 0035-8711
Published online July 2011 | e-ISSN: 1365-2966 | DOI:
Lindblad resonance torques in relativistic discs – I. Basic equations

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Lindblad resonances have been suggested as an important mechanism for angular momentum transport and heating in discs in binary black hole systems. We present the basic equations for the torque and heating rate for relativistic thin discs subjected to a perturbation. The Lindblad resonance torque is written explicitly in terms of metric perturbations for an equatorial disc in a general axisymmetric, time-stationary space–time with a plane of symmetry. We show that the resulting torque formula is gauge-invariant. Computations for the Schwarzschild and Kerr space–times are presented in the companion paper (Paper II).

Keywords: accretion, accretion discs; black hole physics; relativistic processes

Journal Article.  7984 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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