"Aspects of General Relativity in 1+1 Dimensions" by Richard D. Mellinger Jr

Department - Author 1

Physics Department

Degree Name - Author 1

BS in Physics

Date

12-2012

Primary Advisor

Scott Fraser, Thomas D. Gutierrez

Abstract/Summary

What would be the properties of a universe with only one spatial dimension and one time dimension? General relativity in 1+1 dimensions is unique since the two curvature terms in the Einstein field equations cancel. This makes the Einstein field equations algebraic rather than differential equations. This special feature can make 1+1 dimensionality attractive as an instructional tool to simplify the mathematics that many beginners find opaque. We explore the implications and features of the Einstein field equations in 1+1 dimensions and find they provide a surprisingly rich and interesting model. We then study an alternate theory and its implications for a potentially stable wormhole solution.

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