Singularity-free space-time

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 15 Jan 1992Embargo end date: 01 Jan 2004 Spain English Publisher:American Physical Society (APS)Journal:Physical Review D, volume 45, pages 481-486 (issn: 0556-2821,

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Authors: Chinea, F. J. (Francisco Javier), 1949-; Fernández-Jambrina, L. (Leonardo), 1967-; Martín Senovilla, José María;

doi: 10.1103/physrevd.45.481 , 10.48550/arxiv.gr-qc/0403075

pmid: 10014398

arXiv: gr-qc/0403075

handle: 20.500.14352/59477 , 2445/12391

Singularity-free space-time

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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.

Latex 2.09, 14 pages

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Spain

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Keywords

Astrofísica, Gravitació, Física-Modelos matemáticos, Cosmologia quàntica, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Quantum cosmology, 51-73, Astrophysics, Numerical solutions, Solucions numèriques, General Relativity and Quantum Cosmology, Relativitat general (Física), General relativity (Physics), Física matemática, Gravitation

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