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Published April 15, 2007 | Published
Journal Article Open

New energy definition for higher-curvature gravities

Abstract

We propose a novel but natural definition of conserved quantities for gravity models of quadratic and higher order in curvature. Based on the spatial asymptotics of curvature rather than of metric, it avoids the more egregious problems—such as zero-energy "theorems" and failure in flat backgrounds—in this fourth-derivative realm. In D>4, the present expression indeed correctly discriminates between second-derivative Gauss-Bonnet and generic, fourth-derivative actions.

Additional Information

© 2007 The American Physical Society (Received 30 January 2007; published 19 April 2007) S.D. was supported in part by NSF Grant No. PHY04-01667. B.T. is partially supported by the Turkish Academy of Sciences (TÜBA) and by the TÜBİTAK Kariyer Grant No. 104T177.

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August 22, 2023
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