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arXiv · 1806.03747

Wormhole Cosmic Censorship: An Analytical Proof

Juan Carlos Del Águila·Tonatiuh Matos
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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.

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Juan Carlos Del Águila, Tonatiuh Matos. 2018-06-07. Wormhole Cosmic Censorship: An Analytical Proof. https://doi.org/10.1088/1361-6382%2Faaf336

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