Quasi-Local Conservation Equations in General Relativity

Details Quasi-Local Conservation Equations in General Relativity Quasi-Local Conservation Equations in General Relativity

2000-04-25

arxiv.org/abs/gr-qc/0004074v2

Phys.Lett. A292 (2001) 166-172

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTex, 8 pages, a final version to appear in Phys. Lett. A

Scientific paper

10.1016/S0375-9601(01)00756-3

A set of exact quasi-local conservation equations is derived from the Einstein's equations using the first-order Kaluza-Klein formalism of general relativity in the (2,2)-splitting of 4-dimensional spacetime. These equations are interpreted as quasi-local energy, momentum, and angular momentum conservation equations. In the asymptotic region of asymptotically flat spacetimes, it is shown that the quasi-local energy and energy-flux integral reduce to the Bondi energy and energy-flux, respectively. In spherically symmetric spacetimes, the quasi-local energy becomes the Misner-Sharp energy. Moreover, on the event horizon of a general dynamical black hole, the quasi-local energy conservation equation coincides with the conservation equation studied by Thorne {\it et al}. We discuss the remaining quasi-local conservation equations briefly.

Affiliated with

Also associated with

No associations

Rating

Quasi-Local Conservation Equations in General Relativity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quasi-Local Conservation Equations in General Relativity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasi-Local Conservation Equations in General Relativity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-473615