Gravitational energy in quadratic-curvature gravities

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2002-09-02

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Deser, S
Tekin, Bayram

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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 Lambda, and E is the "cosmological" Abbott-Deser (AD) expression; instead, E always vanishes in flat, Lambda=0, background. For combined Einstein-quadratic curvature systems without explicit Lambda-term vacuum must be flat space, and E has the usual Arnowitt-Deser-Misner form. A Lambda-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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https://hdl.handle.net/11511/47171

Journal

PHYSICAL REVIEW LETTERS

DOI

https://doi.org/10.1103/physrevlett.89.101101

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Department of Physics, Article

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Citation Formats

S. Deser and B. Tekin, “Gravitational energy in quadratic-curvature gravities,” PHYSICAL REVIEW LETTERS, pp. 0–0, 2002, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47171.