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Regular black holes in three dimensions

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arxiv 2104.10172 v1 pith:PFZX52F6 submitted 2021-04-20 gr-qc hep-th

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

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abstract

We find a plethora of new analytic black holes and globally regular horizonless spacetimes in three dimensions. The solutions involve a single real scalar field $\phi$ which always admits a magnetic-like expression proportional to the angular coordinate. The new metrics, which satisfy $g_{tt}g_{rr}=-1$ and represent continuous generalizations of the BTZ one, solve the equations of Einstein gravity corrected by a new family of densities (controlled by unconstrained couplings) constructed from positive powers of $(\partial \phi)^2$ and certain linear combinations of $R^{ab} \partial_a \phi \partial_b \phi$ and $(\partial \phi)^2 R$. Some of the solutions obtained describe black holes with one or several horizons. A set of them possesses curvature singularities, while others have conical or BTZ-like ones. Interestingly, in some cases the black holes have no singularity at all, being completely regular. Some of the latter are achieved without any kind of fine tuning or constraint between the action parameters and/or the physical charges of the solution. An additional class of solutions describes globally regular and horizonless geometries.

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Cited by 8 Pith papers

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

  1. Dynamical Formation of Regular Black Holes

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    In quasi-topological gravity, a collapsing thin shell bounces at small radius, producing a regular, geodesically complete black hole instead of a singularity.

  2. Regular black holes from thin-shell collapse

    gr-qc 2024-12 conditional novelty 7.0 of 10

    In D≥5 pure gravity with an infinite tower of higher-curvature terms, spherical thin-shell collapse generically produces regular black holes that bounce into new universes.

  3. Holographic explorations of regular black holes in pure gravity

    hep-th 2025-05 conditional novelty 6.0 of 10

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  4. Regular black holes from Oppenheimer-Snyder collapse

    gr-qc 2025-05 accept novelty 6.0 of 10

    In quasi-topological gravities in D>=5 with infinite higher-curvature towers, Oppenheimer-Snyder dust collapse bounces at a finite minimum radius, yielding regular black holes and bouncing FLRW cosmologies.

  5. Regular black hole solutions in $(2 + 1)$-dimensional $f(R,T)$ gravity coupled to nonlinear electrodynamics

    gr-qc 2025-04 conditional novelty 6.0 of 10

    New families of regular black hole solutions are derived in (2+1)-dimensional f(R,T) gravity with nonlinear electrodynamics, generalizing earlier results and showing that energy-momentum is not conserved.

  6. Optimal Control Theory of the (2+1)-Dimensional BTZ Black Hole

    gr-qc 2025-12 conditional novelty 5.0 of 10

    Geodesics of the Weinhold and Ruppeiner thermodynamic metrics are computed for the BTZ black hole and interpreted as optimal evaporation/accretion protocols.

  7. Can we distinguish whether black holes have singularities or not through echoes and light rings?

    gr-qc 2025-05 conditional novelty 5.0 of 10

    In the Bardeen and Hayward black hole families, the singular type II branch can have two light rings and echo-like quasinormal signals, while regular black holes have one light ring.

  8. Joule-Thomson Effect and Geodesic Structure of Charged AdS Black Holes in f(R,T) Coupled with Nonlinear Electrodynamics

    gr-qc 2026-07 conditional novelty 4.0 of 10

    Charge most strongly controls JT inversion and cooling domains of the f(R,T)-NLED AdS black hole; NLED and modified-gravity parameters supply only sub-leading corrections that leave exterior geodesics close to RN-AdS.

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