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Lindblad resonance torques in relativistic discs: I. Basic equations

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arxiv 1010.0758 v2 pith:NMPRNXET submitted 2010-10-05 astro-ph.HE gr-qc

classification astro-ph.HEgr-qc
keywords discslindbladtorquebasicequationsheatingrelativisticresonance
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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 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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    A numerical scan of 141,130 third-body resonances in EMRI systems finds no action changes above 1% but some waveform phase shifts near 0.1 radian.

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