Dissertation/Thesis Abstract

The Big Bang Singularity
by Ling, Eric, M.A., University of California, Santa Barbara, 2015, 142; 1600215
Abstract (Summary)

The big bang theory is a model of the universe which makes the striking prediction that the universe began a finite amount of time in the past at the so called "Big Bang singularity." We explore the physical and mathematical justification of this surprising result. After laying down the framework of the universe as a spacetime manifold, we combine physical observations with global symmetrical assumptions to deduce the FRW cosmological models which predict a big bang singularity. Next we prove a couple theorems due to Stephen Hawking which show that the big bang singularity exists even if one removes the global symmetrical assumptions. Lastly, we investigate the conditions one needs to impose on a spacetime if one wishes to avoid a singularity. The ideas and concepts used here to study spacetimes are similar to those used to study Riemannian manifolds, therefore we compare and contrast the two geometries throughout.

Indexing (document details)
Advisor: Dai, Xianzhe
Commitee: Dai, Xianzhe, Wei, Guofang, Ye, Rick
School: University of California, Santa Barbara
Department: Mathematics
School Location: United States -- California
Source: MAI 55/02M(E), Masters Abstracts International
Subjects: Mathematics, Physics
Keywords: Big Bang, General, Hawking, Stephen, Relativity, Singularity, Theorem
Publication Number: 1600215
ISBN: 978-1-339-08448-0
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