Negative Point Mass Singularities in General Relativity

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.

Author dc:creator

• Robbins, Nicholas Philip

Advisor dc:contributor.advisor

• Bray, Hubert L

• Mathematics

Language dc:language.iso

en_US

Handle dc:identifier.uri

https://hdl.handle.net/10161/389

OAI identifier oai:identifier

oai:dukespace.lib.duke.edu:10161/389