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Gravitational instabilities of superspinars

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arxiv 1006.1863 v3 pith:N35YZC7I submitted 2010-06-09 gr-qc astro-ph.HEhep-th

Gravitational instabilities of superspinars

classification gr-qc astro-ph.HEhep-th
keywords superspinarsgravitationalaccretionastrophysicalboundaryconditionsfindinstabilities
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Superspinars are ultracompact objects whose mass M and angular momentum J violate the Kerr bound (cJ/GM^2>1). Recent studies analyzed the observable consequences of gravitational lensing and accretion around superspinars in astrophysical scenarios. In this paper we investigate the dynamical stability of superspinars to gravitational perturbations, considering either purely reflecting or perfectly absorbing boundary conditions at the "surface" of the superspinar. We find that these objects are unstable independently of the boundary conditions, and that the instability is strongest for relatively small values of the spin. Also, we give a physical interpretation of the various instabilities that we find. Our results (together with the well-known fact that accretion tends to spin superspinars down) imply that superspinars are very unlikely astrophysical alternatives to black holes.

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