Equilibrium tori orbiting Reissner-Nordström naked singularities

Proceedings of RAGtime / Equilibrium tori orbiting Reissner-Nordström naked singularities

Equilibrium tori orbiting Reissner-Nordström naked singularities

Authors

Ruchi Mishra and Włodek Kluźniak

Abstract

In general relativity, the asymptotically flat space-time of a charged, spherically symmetric (non-rotating) body is described by the Reissner-Nordström metric. This metric corresponds to a naked singularity when the absolute value of charge, Q, exceeds the mass, M. For all Reissner-Nordström naked singularities, there exists a zero gravity sphere where a test particle can remain at rest. Outside that sphere, gravity is attractive, inside it, gravity is repulsive. For values of Q/M > √9/8, the angular frequency of circular test-particle orbits has a maximum at radius r = (4/3) Q2/M. We construct polytropic tori with uniform values of specific angular momentum in the naked singularity regime of the Reissner-Nordström metric (Q/M > 1).

Keywords

Stars: gravity – naked singularities – accretion, accretion disks

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