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arXiv · 2205.09737

A Penrose-type inequality with angular momenta for black holes with 3-sphere horizon topology

Aghil Alaee·Hari K. Kunduri
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Abstract

We establish a Penrose-type inequality with angular momenta for four dimensional, biaxially symmetric, maximal, asymptotically flat initial data sets $(M,g,k)$ for the Einstein equations with fixed angular momenta and horizon inner boundary associated to a 3-sphere outermost minimal surface. Moreover, equality holds if and only if the initial data set is isometric to a canonical time slice of a stationary Myers-Perry black hole.

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Aghil Alaee, Hari K. Kunduri. 2022-05-19. A Penrose-type inequality with angular momenta for black holes with 3-sphere horizon topology. https://arxiv.org/abs/2205.09737

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