Extreme 5-dimensional black holes with SU(2)-symmetric horizons

2024/09/02 by Bahuaud, Eric, Gunasekaran, Sharmila, Kunduri, Hari K +1 · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2409.00910

Abstract

We show that the near horizon geometry of 5-dimensional extreme (i.e., degenerate) stationary vacuum black holes, with or without cosmological constant, whose event horizons exhibit \SU(2) symmetry must be that of a Berger sphere.

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• On Nilpotent and Solvable Quasi-Einstein Manifolds

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