Singularities in Global Hyperbolic Space-time Manifold

Dr Haradhan Mohajan ()

MPRA Paper from University Library of Munich, Germany

Abstract: If a space-time is timelike or null geodesically incomplete but cannot be embedded in a larger space-time, then we say that it has a singularity. There are two types of singularities in the space-time manifold. First one is called the Big Bang singularity. This type of singularity must be interpreted as the catastrophic event from which the entire universe emerged, where all the known laws of physics and mathematics breakdown in such a way that we cannot know what was happened during and before the big bang singularity. The second type is Schwarzschild singularity, which is considered as the end state of the gravitational collapse of a massive star which has exhausted its nuclear fuel providing the pressure gradient against the inwards pull of gravity. Global hyperbolicity is the most important condition on causal structure space-time, which is involved in problems as cosmic censorship, predictability, etc. Here both types of singularities in global hyperbolic space-time manifold are discussed in some details.

Keywords: Big Bang; global hyperbolicity; manifold; FRW model; Schwarzschild solution; space-time singularities (search for similar items in EconPapers)
JEL-codes: C2 C20 (search for similar items in EconPapers)
Date: 2016-03-05, Revised 2016-03-16
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

Published in Asian Journal of Applied Science and Engineering 5.1(2016): pp. 41-58

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