A singularity-free space-time

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...

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Bibliographic Details
Published inarXiv.org
Main Authors Chinea, F J, Fernandez-Jambrina, L, Senovilla, J M M
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 17.03.2004
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Theorems
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0403075