On the stability of a superspinar

Abstract

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.

5 pages

References in corpus (3)

• Instability of hyper-compact Kerr-like objects
• Instability of charged and rotating naked singularities
• Gravitational instabilities in Kerr space-times

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• Disclosing connections between black holes and naked singularities: Horizon remnants, Killing throats and bottlenecks
• Shadow Geometry of Kerr Naked Singularities
• Near- and sub-solar-mass naked singularities and black holes from transmutation of white dwarfs
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• Distinguishing Black Hole and Naked Singularity in MOG via Inertial Frame Dragging Effect
• Prospects for estimating parameters from gravitational waves of superspinar binaries
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• Distinguishing Signature of Kerr-MOG Black Hole and Superspinar via Lense-Thirring Precession
• An Approach to Stability Analyses in General Relativity via Symplectic Geometry