Novel way to the metric of higher dimensional rotating black holes
arXiv:2205.02231 · doi:10.1103/PhysRevD.105.124068
Abstract
We wish to carry forward to higher dimensions the insightful and novel method of obtaining the Kerr metric proposed by one of us [Gen. Relativ. Gravit. 45, 2383 (2013)] for deriving the Myers-Perry rotating black hole metric. We begin with a flat spacetime metric written in oblate spheroidal coordinates (ellipsoidal geometry) appropriate for the inclusion of rotation, and then introduce arbitrary functions to introduce a gravitational potential due to mass, which are then determined by requiring that a massless particle experiences no acceleration, while a massive particle feels Newtonian acceleration at large r. We further generalize the method to include the cosmological constant Λ to obtain the MyersPerry de Sitter/antide Sitter black hole metric.
20 pages
References in corpus (4)
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- Janis-Newman algorithm: generating rotating and NUT charged black holes
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- Generating odd-dimensional rotating black holes with equal angular momenta by using the Kerr-Schild Cartesian form of metric