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A new type of nonsingular black-hole solution in general relativity

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arxiv 1309.7011 v6 pith:3FCLMZHA submitted 2013-09-26 gr-qc hep-th

classification gr-qchep-th
keywords solutionsblack-holecentercurvaturenonsingularsingularitysolutionspherically
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abstract

Certain exact solutions of the Einstein field equations over nonsimply-connected manifolds are reviewed. These solutions are spherically symmetric and have no curvature singularity. They provide a regularization of the standard Schwarzschild solution with a curvature singularity at the center. Spherically symmetric collapse of matter in $\mathbb{R}^4$ may result in these nonsingular black-hole solutions, if quantum-gravity effects allow for topology change near the center or if nontrivial topology is already present as a remnant from a quantum spacetime foam.

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Cited by 2 Pith papers

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

  1. What happens to topological invariants (and black holes) in singularity-free theories?

    gr-qc 2024-11 conditional novelty 4.0 of 10

    Regularizing point-source singularities makes flat-space topological charges radius-dependent; in general relativity the same idea gives a cut-out Reissner-Nordström geometry with finite low-order curvature invariants.

  2. Big Bang as spacetime defect

    gr-qc 2024-12 conditional novelty 2.0 of 10

    The Big Bang singularity is replaced by a degenerate-metric spacelike defect, yielding a smooth bounce with finite curvature and a second world on the other side.

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