Wormhole Cosmic Censorship: An Analytical Proof

Abstract

In this work we present an analytical proof of cosmic censorship in a Kerr-like phantom wormhole (WH) which contains a singularity that is not protected by an event horizon. We show that the naked singularity of this space-time is causally disconnected from the universe. To do so, we consider a slowly rotating limit and by means of the Hamilton-Jacobi theory separate the Hamiltonian of the geodesics into two polynomials. During this process we find a fourth conserved quantity. After examining the properties of these polynomials we conclude that the ring singularity is untouchable by any observer traveling in a geodesic of this space-time. We also derive the conditions on the four constants of motion that are necessary for a traveler to go back and forth both universes connected through the WH, and then compare its structure to that of a negative mass Kerr black hole.

arXiv comment8 pages, 7 figures. Final version

References in corpus (4)

• Accretion of phantom scalar field into a black hole
• Class of Einstein-Maxwell Phantom Fields: Rotating and Magnetised Wormholes
• Kerr-Like Phantom Wormhole
• Wormhole Cosmic Censorship

Cited by in corpus (5)

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• Massless Charged Particles, Naked Singularity, and Generalized Uncertainty Principle in Reissner-Nordström-de Sitter-like spacetime
• Accretion flows around exotic tidal wormholes I. Ray-tracing
• A Brief Review of Wormhole Cosmic Censorship
• Analytical solution of traversable wormholes in the presence of positive cosmological constant