Abstract
In this work, we investigate the existence of Hilbert or gravitational repulsion of a test charged particle near the Kerr–Newman anti-de Sitter black hole. We found that the dynamical motion of the test charged particle is significantly affected by the black hole charge and spin, probably due to the electrostatic interaction and the curvature behaviour of spacetime. We also obtain the various conditions under which a freely falling test particle towards the black hole experiences the Hilbert repulsion or attraction as viewed by a distant observer.
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The first author proposes and works out the main portion of the work while the second author helps partially to complete the main work by developing the concepts used in the work. All plots in the work are appropriately suggested by the second author while being executed and plotted by the first author. The compilation of the manuscript under the guidance of the second author was done by the first author.
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Polo, C.L., Singh, H.S. Hilbert repulsion in the Kerr–Newman anti-de Sitter spacetime. Astrophys Space Sci 369, 41 (2024). https://doi.org/10.1007/s10509-024-04304-8
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DOI: https://doi.org/10.1007/s10509-024-04304-8