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

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.

20 pages; v6: published version. arXiv admin note: text overlap with arXiv:1305.2875

References in corpus (4)

• Bounds on length scales of classical spacetime foam models
• Black-hole solution without curvature singularity
• A nonsingular spacetime defect
• Black-hole solution without curvature singularity and closed timelike curves

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