Article
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Quasi–Hyperbolically Symmetric γ-Metric
Version 1
: Received: 14 August 2023 / Approved: 14 August 2023 / Online: 15 August 2023 (03:35:38 CEST)
A peer-reviewed article of this Preprint also exists.
Herrera, L.; Di Prisco, A.; Ospino, J.; Carot, J. Quasi-Hyperbolically Symmetric γ-Metric. Entropy 2023, 25, 1338. Herrera, L.; Di Prisco, A.; Ospino, J.; Carot, J. Quasi-Hyperbolically Symmetric γ-Metric. Entropy 2023, 25, 1338.
Abstract
We carry out a systematic study on the motion of test particles in the region inner to the naked singularity of a quasi–hyperbolically symmetric γ-metric. The geodesic equations are written and analyzed in detail. The obtained results are contrasted with the corresponding results obtained for the axially symmetric γ-metric, and the hyperbolically symmetric black hole. As in this latter case, it is found that test particles experience a repulsive force within the horizon (naked singularity), which prevents them to reach the center. However in the present case this behavior is affected by the parameter γ which measures the departure from the hyperbolical symmetry. These results are obtained for radially moving particles as well as for particles moving in the θ−r subspace. Possible relevance of these results in the explanation of extragalactic jets, is brought out. .
Keywords
Black holes; exact solutions; general relativity
Subject
Physical Sciences, Astronomy and Astrophysics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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