Abstract
An exact solution of the vacuum Einstein field equations over a particular nonsimply-connected manifold is presented. This solution is spherically symmetric and has no curvature singularity. It provides a regularization of the Schwarzschild solution with a curvature singularity at the center.
Note added in proof After the conference, further aspects of this new type of solution have been studied in [18, 19].
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Acknowledgments
It is a pleasure to thank the participants of the Karl Schwarzschild Meeting on Gravitational Physics (Frankfurt Institute for Advanced Studies, July 2013) for interesting discussions and the organizers for making it all happen.
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Klinkhamer, F.R. (2016). A ‘Regularized’ Schwarzschild Solution. In: Nicolini, P., Kaminski, M., Mureika, J., Bleicher, M. (eds) 1st Karl Schwarzschild Meeting on Gravitational Physics. Springer Proceedings in Physics, vol 170. Springer, Cham. https://doi.org/10.1007/978-3-319-20046-0_22
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