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Gravitational Energy in Quadratic-Curvature Gravities

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.

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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.

Item Type:Article
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Deser, S.0000-0001-9285-9434
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
Record Number:CaltechAUTHORS:20170127-154050364
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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
Deposited By: George Porter
Deposited On:27 Jan 2017 23:58
Last Modified:11 Nov 2021 05:22

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