Quasi-Local Energy Conservation Law Derived From The Einstein's Equations

Details Quasi-Local Energy Conservation Law Derived From The Einstein's Equations Quasi-Local Energy Conservation Law Derived From The Einstein's Equations

1998-06-19

arxiv.org/abs/gr-qc/9806078v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 1 figure, RevTex

Scientific paper

The quasi-local energy conservation law is derived from the vacuum Einstein's
equations on the timelike boundary surface in the canonical (2,2)-formalism of
general relativity. The quasi-local energy and energy flux integral agree with
the standard results in the asymptotically flat limit and in spherically
symmetric spacetimes.

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