Stable Bound Orbits around Black Rings

Igata, Takahisa; Ishihara, Hideki; Takamori, Yohsuke

doi:10.1088/1742-6596/314/1/012113

Cited by 1 publication

(2 citation statements)

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“…Furthermore, since the uniqueness theorem does not hold for higherdimensional black holes as in 4D [11,12], and they can have a non-spherical horizon (e.g., ring and lens [13][14][15]), various particle dynamics depending on the horizon topology can also occur in higher dimensions. Indeed, stable circular/bound orbits appear in the 5D black ring spacetime [16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

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Stable circular orbits in higher-dimensional multi–black-hole spacetimes

Igata¹,

Tomizawa

2020

Phys. Rev. D

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We consider the dynamics of particles, particularly focusing on circular orbits in the higher-dimensional Majumdar-Papapetrou (MP) spacetimes with two equal mass black holes. It is widely known that in the 5D Schwarzschild-Tangherlini and Myers-Perry backgrounds, there are no stable circular orbits. In contrast, we show that in the 5D MP background, stable circular orbits can always exist when the separation of two black holes is large enough. More precisely, for a large separation, stable circular orbits exist from the vicinity of horizons to infinity; for a medium one, they appear only in a certain finite region bounded by the innermost stable circular orbit and the outermost stable circular orbit outside the horizons; for a small one, they do not appear at all. Moreover, we show that in MP spacetimes in more than 5D, they do not exist for any separations.

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Section: Introductionmentioning

confidence: 99%

“…These correspond to the fixed points of the reflection symmetry of U . Furthermore, solving the conditions (17) and (18) for L 2 and E 2 , we obtain…”

Section: Introductionmentioning

confidence: 99%