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Published April 15, 2003 | Published + Submitted
Journal Article Open

Energy in generic higher curvature gravity theories

Abstract

We define and compute the energy of higher curvature gravity theories in arbitrary dimensions. Generically, these theories admit constant curvature vacua (even in the absence of an explicit cosmological constant), and asymptotically constant curvature solutions with nontrivial energy properties. For concreteness, we study quadratic curvature models in detail. Among them, the one whose action is the square of the traceless Ricci tensor always has zero energy, unlike conformal (Weyl) gravity. We also study the string-inspired Einstein-Gauss-Bonnet model and show that both its flat and anti–de Sitter vacua are stable.

Additional Information

© 2003 American Physical Society. Received 23 December 2002; published 17 April 2003. This work was supported by National Science Foundation grant PHY99-73935.

Attached Files

Published - PhysRevD.67.084009.pdf

Submitted - 0212292.pdf

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August 19, 2023
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