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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

Kleinian black holes

Damien A. Easson , Max W. Pezzelle This is my paper
classification hep-th gr-qc
keywords kleiniansplit-signatureanalysismetricsprovesolutionsspacetimesvacuum
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 4 Pith papers

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

  1. Graviton scattering on self-dual black holes

    hep-th 2025-07 unverdicted novelty 8.0

    Exact tree-level MHV graviton scattering amplitudes at arbitrary multiplicity are obtained on self-dual Taub-NUT backgrounds using twistor theory, including spin via Newman-Janis shift, with undeformed celestial symmetries.

  2. Black Hole Interiors as a Laboratory for Time-Dependent Classical Double Copy

    hep-th 2026-04 unverdicted novelty 7.0

    Trapped black hole interiors admit exact time-dependent classical double copy via Kantowski-Sachs patches from static Kerr-Schild data, characterized by p_parallel = -ρ, with finite single-copy fields in regular solut...

  3. Birkhoff rigidity from a covariant optical seed

    gr-qc 2026-04 unverdicted novelty 7.0

    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.

  4. Birkhoff rigidity from a covariant optical seed

    gr-qc 2026-04 conditional novelty 6.0

    In spherical vacuum gravity, the covariant optical seed collapses to the real monopole R=±r, and its Kerr-Schild reconstruction is uniquely the Schwarzschild family.