Lindblad resonance torques in relativistic discs: I. Basic equations

Details Lindblad resonance torques in relativistic discs: I. Basic equations Lindblad resonance torques in relativistic discs: I. Basic equations

2010-10-05

arxiv.org/abs/1010.0758v2

MNRAS 414, 3198 (2011)

Astronomy and Astrophysics

Astrophysics

High Energy Astrophysical Phenomena

Matches MNRAS accepted version

Scientific paper

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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