corner
corner

Phys. Rev. D 75, 084032 (2007) [3 pages]

New energy definition for higher-curvature gravities

Download: PDF (74 kB) Buy this article Export: BibTeX or EndNote (RIS)

S. Deser*
California Institute of Technology, Pasadena, California 91125 USA and Brandeis University, Waltham, Massachusetts 02454, USA

Bayram Tekin
Department of Physics, Faculty of Arts and Sciences, Middle East Technical University, 06531, Ankara, Turkey

Received 30 January 2007; published 19 April 2007

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.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.75.084032
DOI:
10.1103/PhysRevD.75.084032
PACS:
04.20.−q, 04.50.+h, 04.90.+e, 11.30.−j

*Electronic address: deser@brandeis.edu

Electronic address: btekin@metu.edu.tr