Total energy momentum in general relativity

The energy momentum of any asymptotically flat vacuum solution to the Einstein equations is a well‐defined, conserved, Lorentz‐covariant, timelike, future‐pointing vector. The only requirement is that one be given asymptotically flat initial data that satisfy very weak continuity and falloff conditi...

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Bibliographic Details
Published in:Journal of mathematical physics 1986-08, Vol.27 (8), p.2111-2128
Main Author: MURCHADHA, N. O
Format: Article
Language:English
Subjects:
Classical general relativity
Exact sciences and technology
General relativity and gravitation
Physics
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Summary:The energy momentum of any asymptotically flat vacuum solution to the Einstein equations is a well‐defined, conserved, Lorentz‐covariant, timelike, future‐pointing vector. The only requirement is that one be given asymptotically flat initial data that satisfy very weak continuity and falloff conditions; the three‐metric must go flat faster than r − 1 / 2. A large class of such data exists, consistent with the constraints, and the constraints play a key role in guaranteeing that the energy momentum is well behaved.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.527394