Evaluation of Bartnik's quasilocal mass function

Details Evaluation of Bartnik's quasilocal mass function Evaluation of Bartnik's quasilocal mass function

1996-08-01

arxiv.org/abs/gr-qc/9608002v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, LeTex file

Scientific paper

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.

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