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Gravitational Waves from Thurston Geometries

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arxiv 2311.12985 v2 pith:TQTQ3ZDV submitted 2023-11-21 gr-qc hep-th

classification gr-qchep-th
keywords gravitationalelectromagneticfieldgeometriesradiationspacetimesthree-dimensionalthurston
verification ladder T0 review T1 audit T2 compute T3 formal

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It has been established that the famous three-dimensional Thurston geometries have four intrinsically Lorentzian analogs. We explore these spacetimes in three-dimensional general relativity nonminimally coupled to a scalar field together with electromagnetic matter. We find that three of these spacetimes support electromagnetic radiation, while, the other is partially sourced by a nonnull field and supports gravitational radiation. By addressing this problem we have also found a novel type of gravitational Cheshire effect.

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Cited by 1 Pith paper

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

  1. Non-Abelian target space duals of Thurston geometries

    hep-th 2025-05 conditional novelty 5.0 of 10

    For most Thurston geometries, the paper constructs explicit non-Abelian T-dual metrics and B-fields via Poisson-Lie duality, yielding 20 string backgrounds.

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