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Black Holes and Wormholes in 2+1 Dimensions

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arxiv gr-qc/9707036 v1 submitted 1997-07-15 gr-qc

classification gr-qc
keywords blackholesobtainedspacetimestopologiesallowedanti-deapproach

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A large variety of spacetimes---including the BTZ black holes---can be obtained by identifying points in 2+1 dimensional anti-de Sitter space by means of a discrete group of isometries. We consider all such spacetimes that can be obtained under a restriction to time symmetric initial data and one asymptotic region only. The resulting spacetimes are non-eternal black holes with collapsing wormhole topologies. Our approach is geometrical, and we discuss in detail: The allowed topologies, the shape of the event horizons, topological censorship and trapped curves.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 124 citations worldwide. Full citation record

  1. Dirichlet walls and the end of time

    hep-th 2026-06 unverdicted novelty 8.0 of 10

    Generic Dirichlet-wall spacetimes can end in finite-time spacelike singularities at the wall, including walls that fall into BTZ black holes.

  2. Multicritical points of gravitational solitons and a black hole in four dimensions

    hep-th 2026-05 unverdicted novelty 8.0 of 10

    A polynomial Plebański structural function H(P) enables the first realization of multicritical points in 4D GR, with the soliton sector exhibiting multiple first-order phase transitions whose number is set by the poly...

  3. A spool for every quotient: One-loop partition functions in AdS$_3$ gravity

    hep-th 2025-07 conditional novelty 7.0 of 10

    One-loop partition functions of massive spinning fields on any smooth cusp-free hyperbolic 3-manifold are expressed as Wilson spools, sums over free loops of holonomy traces in lowest-weight sl(2,R) representations.

  4. A Holographic Map from AdS$_3$ to CFT$_2$

    hep-th 2026-07 conditional novelty 6.0 of 10

    Semiclassical pure AdS3 gravity states, labelled by fixed-area geodesic networks, are mapped to CFT2 primary states whose wavefunctions are networks of OPE coefficients.

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