English

Zero area singularities in general relativity and inverse mean curvature flow

Differential Geometry 2015-05-19 v1

Abstract

First we restate the definition of a Zero Area Singularity, recently introduced by H. Bray. We then consider several definitions of mass for these singularities. We use the Inverse Mean Curvature Flow to prove some new results about the mass of a singularity, the ADM mass of the manifold, and the capacity of the singularity.

Keywords

Cite

@article{arxiv.1008.1781,
  title  = {Zero area singularities in general relativity and inverse mean curvature flow},
  author = {Nicholas P. Robbins},
  journal= {arXiv preprint arXiv:1008.1781},
  year   = {2015}
}

Comments

13 pages