Herrera Luis, Di Prisco Alicia, Ospino Justo, Carot Jaume
Instituto Universitario de Física Fundamental y Matemáticas, Universidad de Salamanca, 37007 Salamanca, Spain.
Escuela de Física, Facultad de Ciencias, Universidad Central de Venezuela, Caracas 1050, Venezuela.
Entropy (Basel). 2023 Sep 15;25(9):1338. doi: 10.3390/e25091338.
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 from reaching 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. The possible relevance of these results in the explanation of extragalactic jets is revealed.
我们对类测试粒子在准双曲对称γ度规的裸奇点内部区域的运动进行了系统研究。详细推导并分析了测地线方程。将所得结果与轴对称γ度规和双曲对称黑洞的相应结果进行了对比。与后一种情况一样，发现测试粒子在视界（裸奇点）内受到排斥力，这阻止它们到达中心。然而，在当前情况下，这种行为受到衡量与双曲对称性偏离程度的参数γ的影响。这些结果是针对径向运动的粒子以及在θ-r子空间中运动的粒子得到的。揭示了这些结果在解释河外喷流方面可能具有的相关性。
