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Evaluation of Bartnik's quasilocal mass function

Piotr Koc
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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.

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Piotr Koc. 1996-08-01. Evaluation of Bartnik's quasilocal mass function. https://arxiv.org/abs/gr-qc/9608002

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