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Negative Point Mass Singularities in General Relativity

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Date
2007-08-03
Author
Robbins, Nicholas Philip
Advisor
Bray, Hubert L
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Abstract
First we review the definition of a negative point mass singularity. Then we examine the gravitational lensing effects of these singularities in isolation and with shear and convergence from continuous matter. We review the Inverse Mean Curvature Flow and use this flow to prove some new results about the mass of a singularity, the ADM mass of the manifold, and the capacity of the singularity. We describe some particular examples of these singularities that exhibit additional symmetries.
Type
Dissertation
Department
Mathematics
Subject
Mathematics
Permalink
https://hdl.handle.net/10161/389
Citation
Robbins, Nicholas Philip (2007). Negative Point Mass Singularities in General Relativity. Dissertation, Duke University. Retrieved from https://hdl.handle.net/10161/389.
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