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arXiv · 2205.02231

Novel way to the metric of higher dimensional rotating black holes

Amin Aghababaie Dastgerdi·Behrouz Mirza·Naresh Dadhich
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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 {\Lambda} to obtain the MyersPerry de Sitter/antide Sitter black hole metric.

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Amin Aghababaie Dastgerdi, Behrouz Mirza, Naresh Dadhich. 2022-05-04. Novel way to the metric of higher dimensional rotating black holes. https://doi.org/10.1103/physrevd.105.124068

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