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Static spherically symmetric solutions for conformal gravity in three dimensions

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arxiv 0905.1510 v1 pith:VSYKJQ36 submitted 2009-05-10 hep-th gr-qc

Julio Oliva , David Tempo , Ricardo Troncoso This is my paper · ORCID
classification hep-thgr-qc
keywords conformalsolutionsblackcurvaturestaticconstantdimensionsgravity
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Static spherically symmetric solutions for conformal gravity in three dimensions are found. Black holes and wormholes are included within this class. Asymptotically the black holes are spacetimes of arbitrary constant curvature, and they are conformally related to the matching of different solutions of constant curvature by means of an improper conformal transformation. The wormholes can be constructed from suitable identifications of a static universe of negative spatial curvature, and it is shown that they correspond to the conformal matching of two black hole solutions with the same mass.

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Cited by 4 Pith papers

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

  1. Enhanced Conformal $BMS_3$ Symmetries

    hep-th 2024-12 conditional novelty 7.0 of 10

    A boundary-condition analysis of extended conformal gravity in 3D yields a new nonlinear W(2,2,2,2,1,1,1) asymptotic symmetry algebra whose central charges are fixed by the Virasoro central charge.

  2. Notes on su$(1,2)\oplus$u$(1)$ Chern-Simons theory and Torsional Newton-Cartan gravity

    hep-th 2025-05 conditional novelty 6.0 of 10

    The su(1,2)⊕u(1) Chern-Simons theory is torsional Newton-Cartan gravity whose 1/c expansion reproduces the extended z=2 Schrödinger gravity and whose asymptotic symmetry is the W_3^(2)⊕u(1) algebra.

  3. A note on one-parameter subgroups of SO(3,2)

    hep-th 2025-12 conditional novelty 5.0 of 10

    SO(3,2) one-parameter subgroups contain two new types, Id and V, with explicit coordinate transformations yielding new conformal gravity metrics.

  4. Holography of new conformal higher spin gravities in 3d for low spins

    hep-th 2024-11 conditional novelty 3.0 of 10

    A proceedings summary of the author's prior work on holography of new conformal higher-spin gravities in 3d, presenting boundary conditions, metric solutions, entropy, and a one-parameter subgroup classification.

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