Wormhole cosmic censorship: an analytical proof. (13th December 2018)

• Record Type: Journal Article
• Authors: Del Águila, Juan Carlos; Matos, Tonatiuh
• Is Part Of: Classical and quantum gravity. Volume 36:Number 1(2019:Jan.)
• Publication Date: 2018-12-13
• Subjects: naked singularity -- cosmic censorship -- wormhole -- phantom scalar field; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/aaf336
• Languages: English
• ISSNs: 0264-9381

Abstract

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.