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

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....

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Bibliographic Details
Published in:Physical review. D 2020-10, Vol.102 (8), Article 084003
Main Authors: Igata, Takahisa, Tomizawa, Shinya
Format: Article
Language:English
Subjects:
Black holes
Circular orbits
Dimensional stability
Orbital stability
Orbits
Saturn
Separation
Spacetime
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Summary: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.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.102.084003