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Title: Twisted black hole is Taub-NUT

Abstract

Recently a purportedly novel solution of the vacuum Einstein field equations was discovered: it supposedly describes an asymptotically flat twisted black hole in 4-dimensions whose exterior spacetime rotates in a peculiar manner—the frame dragging in the northern hemisphere is opposite from that of the southern hemisphere, which results in a globally vanishing angular momentum. Furthermore it was shown that the spacetime has no curvature singularity. We show that the geometry of this black hole spacetime is nevertheless not free of pathological features. In particular, it harbors a rather drastic conical singularity along the axis of rotation. In addition, there exist closed timelike curves due to the fact that the constant r and constant t surfaces are not globally Riemannian. In fact, none of these are that surprising since the solution is just the Taub-NUT geometry. As such, despite the original claim that the twisted black hole might have observational consequences, it cannot be.

Authors:
 [1]
  1. Center for Astronomy and Astrophysics, Department of Physics and Astronomy, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240 (China)
Publication Date:
OSTI Identifier:
22680110
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2017; Journal Issue: 01; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANGULAR MOMENTUM; BLACK HOLES; EINSTEIN FIELD EQUATIONS; MATHEMATICAL SOLUTIONS; NORTHERN HEMISPHERE; SINGULARITY; SOUTHERN HEMISPHERE; SPACE-TIME; SURFACES

Citation Formats

Ong, Yen Chin, E-mail: ongyenchin@sjtu.edu.cn. Twisted black hole is Taub-NUT. United States: N. p., 2017. Web. doi:10.1088/1475-7516/2017/01/001.
Ong, Yen Chin, E-mail: ongyenchin@sjtu.edu.cn. Twisted black hole is Taub-NUT. United States. https://doi.org/10.1088/1475-7516/2017/01/001
Ong, Yen Chin, E-mail: ongyenchin@sjtu.edu.cn. 2017. "Twisted black hole is Taub-NUT". United States. https://doi.org/10.1088/1475-7516/2017/01/001.
@article{osti_22680110,
title = {Twisted black hole is Taub-NUT},
author = {Ong, Yen Chin, E-mail: ongyenchin@sjtu.edu.cn},
abstractNote = {Recently a purportedly novel solution of the vacuum Einstein field equations was discovered: it supposedly describes an asymptotically flat twisted black hole in 4-dimensions whose exterior spacetime rotates in a peculiar manner—the frame dragging in the northern hemisphere is opposite from that of the southern hemisphere, which results in a globally vanishing angular momentum. Furthermore it was shown that the spacetime has no curvature singularity. We show that the geometry of this black hole spacetime is nevertheless not free of pathological features. In particular, it harbors a rather drastic conical singularity along the axis of rotation. In addition, there exist closed timelike curves due to the fact that the constant r and constant t surfaces are not globally Riemannian. In fact, none of these are that surprising since the solution is just the Taub-NUT geometry. As such, despite the original claim that the twisted black hole might have observational consequences, it cannot be.},
doi = {10.1088/1475-7516/2017/01/001},
url = {https://www.osti.gov/biblio/22680110}, journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 01,
volume = 2017,
place = {United States},
year = {Sun Jan 01 00:00:00 EST 2017},
month = {Sun Jan 01 00:00:00 EST 2017}
}