English

Evaluation of Bartnik's quasilocal mass function

General Relativity and Quantum Cosmology 2007-05-23 v1

Abstract

Bartnik's definition of gravitational quasilocal energy is analyzed. For a wide class of systems Bartnik's function is given by the ADM mass of some vacuous extension. As an example we calculate mass of a non central ball in Schwarzschild geometry. The ratio mass to volume becomes singular in the limit of small volumes.

Cite

@article{arxiv.gr-qc/9608002,
  title  = {Evaluation of Bartnik's quasilocal mass function},
  author = {Piotr Koc},
  journal= {arXiv preprint arXiv:gr-qc/9608002},
  year   = {2007}
}

Comments

11 pages, LeTex file