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Thurston Geometries in Three-Dimensional New Massive Gravity

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arxiv 2104.00754 v3 pith:AYEKN42R submitted 2021-04-01 gr-qc hep-thmath-phmath.MP

classification gr-qchep-thmath-phmath.MP
keywords geometriesgravitymassivethree-dimensionalthurstonanalyzecounterpartsequations
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We show that the three-dimensional Thurston geometries are vacuum solutions to the 3D new massive gravity equations of motion. We analyze their Lorentzian counterparts as well.

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Cited by 1 Pith paper

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  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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