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arXiv · 2309.08409

Quasi--hyperbolically symmetric $\gamma$-metric

L. Herrera·A. Di Prisco·J. Ospino·J. Carot
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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 $\gamma$-metric. The geodesic equations are written and analyzed in detail. The obtained results are contrasted with the corresponding results obtained for the axially symmetric $\gamma$-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 $\gamma$ which measures the departure from the hyperbolical symmetry. These results are obtained for radially moving particles as well as for particles moving in the $\theta-r$ subspace. Possible relevance of these results in the explanation of extragalactic jets, is brought out.

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L. Herrera, A. Di Prisco, J. Ospino, J. Carot. 2023-09-15. Quasi--hyperbolically symmetric $\gamma$-metric. https://arxiv.org/abs/2309.08409

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