Negative Point Mass Singularities in General Relativity

Details Negative Point Mass Singularities in General Relativity Negative Point Mass Singularities in General Relativity

2010-08-10

arxiv.org/abs/1008.1795v1

Mathematics

Differential Geometry

103 pages 4 figures. PhD thesis from Duke University. Some material published in CQG

Scientific paper

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.

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