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On Singularity Free Spacetimes--II : mid Geodesic Completeness

1993/07/12 by Naresh Dadhich, Dadhich, Naresh, L. K. Patel +1
Physics and Astronomy · #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9307011

11pages, Normal TeX

arxiv created 1993/07/12 · arxiv updated 2009/11/30

Abstract

We study the geodesics of the singularity free metric considered in the preceding Paper I and show that they are complete. This once again demonstrates the absence of singularity. The geodesic completeness is established in general without reference to any particular matter distribution. The metric is globally hyperbolic and causally stable. The question of inapplicability of the powerful singularity theorems in this case is discussed.

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