Negative Point Mass Singularities in General Relativity
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
DissertationDepartment
MathematicsSubject
MathematicsPermalink
https://hdl.handle.net/10161/389Citation
Robbins, Nicholas Philip (2007). Negative Point Mass Singularities in General Relativity. Dissertation, Duke University. Retrieved from https://hdl.handle.net/10161/389.Collections
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