Hirata, Christopher M. (2011) Lindblad resonance torques in relativistic discs – I. Basic equations. Monthly Notices of the Royal Astronomical Society, 414 (4). pp. 3198-3211. ISSN 0035-8711. http://resolver.caltech.edu/CaltechAUTHORS:20110815-104237105
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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).
|Additional Information:||© 2011 The Authors. Monthly Notices of the Royal Astronomical Society © 2011 RAS. Accepted 2011 February 28. Received 2011 February 24; in original form 2010 October 10. Article first published online: 2 May 2011. CMH thanks Tanja Hinderer, Mike Kesden and Dave Tsang for numerous helpful conversations. CMHis supported by the US National Science Foundation (AST-0807337), the US Department of Energy (DE-FG03-02-ER40701) and the Alfred P. Sloan Foundation.|
|Subject Keywords:||accretion, accretion discs; black hole physics; relativistic processes|
|Official Citation:||Lindblad resonance torques in relativistic discs – I. Basic equations (pages 3198–3211) Christopher M. Hirata Article first published online: 2 MAY 2011 | DOI: 10.1111/j.1365-2966.2011.18617.x|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||15 Aug 2011 17:54|
|Last Modified:||17 Sep 2012 19:21|
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