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On the stability of a superspinar

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arxiv 1707.07242 v1 pith:ZKMGBPB4 submitted 2017-07-23 gr-qc

classification gr-qc
keywords superspinarcompactearlierentityphysicalstabilitystableanalytically
verification ladder T0 review T1 audit T2 compute T3 formal
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The superspinar proposed by Gimon and Horava is a rapidly rotating compact entity whose exterior is described by the over-spinning Kerr geometry. The compact entity itself is expected to be governed by superstringy effects, and in astrophysical scenarios it can give rise to interesting observable phenomena. Earlier it was suggested that the superspinar may not be stable but we point out here that this does not necessarily follow from earlier studies. We show, by analytically treating the Teukolsky equations by Detwiler's method, that in fact there are infinitely many boundary conditions that make the superspinar stable, and that the modes will decay in time. It follows that we need to know more on the physical nature of the superspinar in order to decide on its stability in physical reality.

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