Bohmer, CG;
Hehl, FW;
(2018)
Freud’s superpotential in general relativity and in Einstein-Cartan theory.
Physical Review D
, 97
(4)
, Article 044028. 10.1103/PhysRevD.97.044028.
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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.
| Type: | Article |
|---|---|
| Title: | Freud’s superpotential in general relativity and in Einstein-Cartan theory |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevD.97.044028 |
| Publisher version: | https://doi.org/10.1103/PhysRevD.97.044028 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Alternative gravity theories, General relativity, General relativity formalism, Gravitation, Cosmology & Astrophysics |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10041822 |
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