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Complete integrability of higher-dimensional Einstein equations with additional symmetry, and rotating black holes

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arxiv hep-th/0507250 v1 pith:QX25GCTO submitted 2005-07-26 hep-th gr-qc

Andrei Pomeransky This is my paper
classification hep-thgr-qc
keywords blackcompleteeinsteinequationshigher-dimensionalholesintegrabilitymethod
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A new derivation of the five-dimensional Myers-Perry black-hole metric as a 2-soliton solution on a non-flat background is presented. It is intended to be an illustration of how the well-known Belinski-Zakharov method can be applied to find solutions of the Einstein equations in D-dimensional space-time with D-2 commuting Killing vectors using the complete integrability of this system. The method appears also to be promising for the analysis of the uniqueness questions for higher-dimensional black holes.

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Cited by 2 Pith papers

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

  1. Time-Dependent Integrability from Gauge Theory, I

    hep-th 2026-07 accept novelty 7.5 of 10

    Spacetime-dependent 4d Chern-Simons theory generates time-dependent integrable field theories whose allowed time dependence coincides with one-loop RG flow while preserving Lax integrability.

  2. Building multi-BTZ black holes through Riemann-Hilbert problem

    hep-th 2025-06 conditional novelty 6.0 of 10

    The paper systematically constructs known multi-BTZ black hole solutions from a flat-space seed via Riemann-Hilbert factorization and SO(4,4) transformations.

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