How small can an over-spinning body be in general relativity?

Abstract

The angular momentum of the Kerr singularity should not be larger than a threshold value so that it is enclosed by an event horizon: The Kerr singularity with the angular momentum exceeding the threshold value is naked. This fact suggests that if the cosmic censorship exists in our Universe, an over-spinning body without releasing its angular momentum cannot collapse to spacetime singularities. A simple kinematical estimate of two particles approaching each other supports this expectation and suggests the existence of a minimum size of an over-spinning body. But this does not imply that the geometry near the naked singularity cannot appear. By analyzing initial data, i.e., a snapshot of a spinning body, we see that an over-spinning body may produce a geometry close to the Kerr naked singularity around itself at least as a transient configuration.

arXiv comment30 pages, 8 figures, the version published in PRD

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Cited by in corpus (7)

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• Infinite efficiency of collisional Penrose process: Can over-spinning Kerr geometry be the source of ultra-high-energy cosmic rays and neutrinos ?
• Near- and sub-solar-mass naked singularities and black holes from transmutation of white dwarfs
• Timescale for trans-Planckian collisions in Kerr spacetime
• Scanning the parameter space of collapsing rotating thin shells
• Distinguishing Signature of Kerr-MOG Black Hole and Superspinar via Lense-Thirring Precession