Deser, S. and Tekin, Bayram (2002) Gravitational Energy in Quadratic-Curvature Gravities. Physical Review Letters, 89 (10). Art. No. 101101. ISSN 0031-9007. doi:10.1103/PhysRevLett.89.101101. https://resolver.caltech.edu/CaltechAUTHORS:20170127-154050364
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Abstract
We define energy (E) and compute its values for gravitational systems involving terms quadratic in curvature. There are significant differences, both conceptually and concretely, from Einstein theory. For D = 4, all purely quadratic models admit constant curvature vacua with arbitrary Λ, and E is the “cosmological” Abbott-Deser (AD) expression; instead, E always vanishes in flat, Λ = 0, background. For combined Einstein-quadratic curvature systems without explicit Λ-term vacuum must be flat space, and E has the usual Arnowitt-Deser-Misner form. A Λ-term forces unique de Sitter vacuum, with E the sum of contributions from Einstein and quadratic parts to the AD form. We also discuss the effects on energy definition of higher curvature terms and of higher dimension.
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Additional Information: | © 2002 American Physical Society. (Received 30 May 2002; published 14 August 2002) This work was supported by National Science Foundation Grant No. PHY99-73935. | ||||||||||||
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Issue or Number: | 10 | ||||||||||||
Classification Code: | PACS numbers: 04.50.+h | ||||||||||||
DOI: | 10.1103/PhysRevLett.89.101101 | ||||||||||||
Record Number: | CaltechAUTHORS:20170127-154050364 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170127-154050364 | ||||||||||||
Official Citation: | Gravitational Energy in Quadratic-Curvature Gravities S. Deser and Bayram Tekin Phys. Rev. Lett. 89, 101101 | ||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
ID Code: | 73795 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | George Porter | ||||||||||||
Deposited On: | 27 Jan 2017 23:58 | ||||||||||||
Last Modified: | 11 Nov 2021 05:22 |
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