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Kleinian black holes

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arxiv 2312.00879 v2 pith:EJI5KOCZ submitted 2023-12-01 hep-th gr-qc

Damien A. Easson , Max W. Pezzelle This is my paper · ORCID
classification hep-thgr-qc
keywords kleiniansplit-signatureanalysismetricsprovesolutionsspacetimesvacuum
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We prove there is a unique vacuum solution in split-signature spacetimes with Kleinian SO(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 analogues 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-NUT metrics.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Birkhoff rigidity from a covariant optical seed

    gr-qc 2026-04 unverdicted novelty 7.0 of 10

    Spherical symmetry in stationary vacuum gravity forces the optical seed to equal the inverse areal radius, making Schwarzschild the unique nowhere-vanishing optical-seed Kerr-Schild geometry.

  2. An Exact Black Hole Scattering Amplitude

    hep-th 2024-12 conditional novelty 6.0 of 10

    For the self-dual black hole (NUT charge equal to mass), perihelion precession vanishes to all orders in G, and the exact quantum amplitude is the Fourier transform of the exponentiated classical eikonal phase.

  3. Celestial Chiral Algebras and Self-Dual Gravity

    hep-th 2025-07 conditional novelty 4.0 of 10

    This thesis derives deformations of celestial chiral algebras in self-dual gravity on curved backgrounds, obtaining W(infinity) on Eguchi-Hanson space, Ldiff_q(C) under Moyal deformation, and a two-parameter deformati...

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