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The gravitational-wave spectrum of a non-axisymmetric torus around a rapidly spinning black hole
Authors:Omer Bromberg  Amir Levinson  Maurice van Putten
Institution:

aSchool of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel

bLIGO Laboratory, MIT 17–161, Cambridge, MA 02139, USA

Abstract:The gravitational-wave spectrum emitted by a non-axisymmetric torus rotating at an angular velocity ΩT, is derived in terms of a structure function representing a combination of sausage-tilt modes in the torus in the limit of an incompressible fluid. The analysis of the gravitational-wave spectrum is then applied to a model proposed recently, in which a highly magnetized torus interacts with a stellar mass, Kerr black hole via poloidal field lines that connect the torus and the horizon. The deformation of the torus results from global magnetic instabilities when the magnetic field strength inside the torus exceeds a few times 1015 Gauss. The dynamics of the system is illustrated using a non-MHD toy model. It is found that, quite generally, most of the gravitational-wave energy emitted is in the frequency range of sensitivity of LIGO and Virgo.
Keywords:Black hole physics – gamma rays: bursts – gravitational waves
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