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An upper bound on the minimum orbital period of black holes
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abstract
Previous research has focused on establishing lower bounds on the minimum orbital period of black holes. In this work, we explore the complementary question of whether an upper bound exists for the minimum orbital period of black holes. We investigate the minimum orbital periods of three types of black holes: Schwarzschild, Reissner-Nordstr\"{o}m and Kerr-Newman black holes. We find that the minimum orbital period of these black holes is bounded by an upper limit $T_{min} \leqslant 6\sqrt{3}\pi M$, where $M$ is the black hole mass. Our results suggest that this upper bound on the minimum orbital period may be a general property in black hole spacetimes.
Forward citations
Cited by 2 Pith papers
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Bounds on the minimum orbital period in the background of 5-dimensional charged black holes
For 5D charged black holes, the minimum orbital period lies between 6√π√M and 8√(6π)/3√M, with the bounds reached at maximal and zero charge.
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Bounds on the minimum orbital periods of non-singular Hayward and Bardeen black holes
The minimum orbital period of circular lightlike orbits around Hayward and Bardeen regular black holes satisfies the conjectured bounds, supporting the horizon's role over the singularity.
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