Motion of charged particles in spacetimes with magnetic fields of spherical and hyperbolic symmetry

Lim, Yen-Kheng

doi:10.1103/physrevd.106.064023

Cited by 4 publications

(3 citation statements)

References 30 publications

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“…The three Killing vectors ( 4 ) define the hyperbolical symmetry. Spacetimes endowed with hyperbolical symmetry have previously been the subject of research in different contexts (see [ 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 ] and the references therein).…”

Section: Introductionmentioning

confidence: 99%

“…In [ 13 ], a general study of geodesics in the spacetime described by ( 3 ) is presented (see also [ 20 ]), leading to some interesting conclusions about the behavior of a test particle in this new picture of the Schwarzschild black hole: The gravitational force inside the region

is repulsive. Test particles cannot reach the center.…”

Section: Introductionmentioning

confidence: 99%

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Quasi-Hyperbolically Symmetric γ-Metric

Herrera,

Di Prisco,

Ospino

et al. 2023

Entropy

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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.

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Section: Introductionmentioning

confidence: 99%

is repulsive. Test particles cannot reach the center.…”

Section: Introductionmentioning

confidence: 99%

Quasi-Hyperbolically Symmetric γ-Metric

Herrera,

Di Prisco,

Ospino

et al. 2023

Entropy

View full text Add to dashboard Cite

show abstract

“…In [13], a general study of geodesics in the spacetime described by (3) is presented (see also [20]), leading to some interesting conclusions about the behavior of a test particle in this new picture of the Schwarzschild black hole:…”

Section: Introductionmentioning

confidence: 99%

Quasi–Hyperbolically Symmetric γ-Metric

Herrera,

Di Prisco,

Ospino

et al. 2023

Preprint

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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. .

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