Bohmer, Christian G. and Hehl, Friedrich W. (2018). Freud's superpotential in general relativity and in Einstein-Cartan theory. Phys. Rev. D, 97 (4). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2470-0029

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Abstract

The identification of a suitable gravitational energy in theories of gravity has a long history, and it is well known that a unique answer cannot be given. In the first part of this paper we present a streamlined version of the derivation of Freud's superpotential in general relativity. It is found if we once integrate the gravitational field equation by parts. This allows us to extend these results directly to the Einstein-Cartan theory. Interestingly, Freud's original expression, first stated in 1939, remains valid even when considering gravitational theories in Riemann-Cartan or, more generally, in metric-affine spacetimes.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Bohmer, Christian G.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Hehl, Friedrich W.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-195681
DOI: 10.1103/PhysRevD.97.044028
Journal or Publication Title: Phys. Rev. D
Volume: 97
Number: 4
Date: 2018
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 2470-0029
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
ENERGY-MOMENTUM CURRENT; FIELD-EQUATIONS; GRAVITY; PSEUDOTENSORSMultiple languages
Astronomy & Astrophysics; Physics, Particles & FieldsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/19568

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