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Lindblad resonance torques in relativistic discs: I. Basic equations

Authors
  • Hirata, Christopher M.
Type
Published Article
Publication Date
Mar 01, 2011
Submission Date
Oct 04, 2010
Identifiers
DOI: 10.1111/j.1365-2966.2011.18617.x
Source
arXiv
License
Yellow
External links

Abstract

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 spacetime with a plane of symmetry. We show that the resulting torque formula is gauge-invariant. Computations for the Schwarzschild and Kerr spacetimes are presented in the companion paper.

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