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Kleinian black holes

Easson, Damien A. (ORCID:0000000259634142)·Pezzelle, Max W. (ORCID:0009000966427748)
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Abstract

We prove there is a unique vacuum solution in split-signature spacetimes with Kleinian S O ( 2 , 1 ) spherical symmetry. We extend our analysis to accommodate a positive or negative cosmological constant and we prove the Kleinian spherically symmetric solutions to Einstein’s equation are locally isomorphic to the split-signature analogs of Schwarzschild–(anti)-de Sitter or Nariai spacetimes. Our analysis provides a Kleinian extension of Birkhoff’s theorem to metrics with split signature. Axisymmetric vacuum solutions are also considered, including (2,2) signature formulations of the Kerr and Taub-Newman-Unti-Tamburino metrics. Published by the American Physical Society 2024

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Easson, Damien A. (ORCID:0000000259634142), Pezzelle, Max W. (ORCID:0009000966427748). 2024-02-05. Kleinian black holes. https://doi.org/10.1103/physrevd.109.044007

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