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A singularity-free space-time

F. J. Chinea·L. Fernandez-Jambrina·J. M. M. Senovilla
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Abstract

We show that the solution published in Ref.1 is geodesically complete and singularity-free. We also prove that the solution satisfies the stronger energy and causality conditions, such as global hyperbolicity, causal symmetry and causal stability. A detailed discussion about which assumptions in the singularity theorems are not fulfilled is performed, and we show explicitly that the solution is in accordance with those theorems. A brief discussion of the results is given.

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F. J. Chinea, L. Fernandez-Jambrina, J. M. M. Senovilla. 2004-03-17. A singularity-free space-time. https://doi.org/10.1103/physrevd.45.481

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