Covariant conservation laws from the Palatini formalism
Journal Article
·
· International Journal of Theoretical Physics; (United States)
- Universitaet Muenchen (Germany)
Covariant conservation laws in the Palatini formalism are derived. The result indicates that the gravitational part of conserved charges in general relativity should be calculated from a combination of Komar's strongly conserved current and the Einstein tensor. This implies that the set of complete diffeomorphism charges of a gravitating system consisting of scalar matter is described by Komar's vector density, and that the identification of gravitational energy and momentum reduces to two choices: a choice of relative weights of the contributions resulting from Komar's current and from the Einstein tensor and a choice of preferred vector fields in space-time. A proposal is made which yields energy and momentum as scalars under diffeomorphisms and as a Lorentz vector in tangent space. Furthermore, the result can be used to identify covariant conservation laws holding separately for the matter contributions to diffeomorphism charges.
- OSTI ID:
- 6820335
- Journal Information:
- International Journal of Theoretical Physics; (United States), Journal Name: International Journal of Theoretical Physics; (United States) Vol. 32:1; ISSN 0020-7748; ISSN IJTPBM
- Country of Publication:
- United States
- Language:
- English
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