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Title: 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.

Authors:
;  [1];  [2]
  1. California Institute of Technology, Pasadena, California 91125 USA and Brandeis University, Waltham, Massachusetts 02454 (United States)
  2. (Turkey)
Publication Date:
OSTI Identifier:
21020401
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.75.084032; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACTION INTEGRAL; COSMOLOGY; GRAVITATION; MANY-DIMENSIONAL CALCULATIONS; METRICS

Citation Formats

Deser, S., Tekin, Bayram, and Department of Physics, Faculty of Arts and Sciences, Middle East Technical University, 06531, Ankara. New energy definition for higher-curvature gravities. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.084032.
Deser, S., Tekin, Bayram, & Department of Physics, Faculty of Arts and Sciences, Middle East Technical University, 06531, Ankara. New energy definition for higher-curvature gravities. United States. doi:10.1103/PHYSREVD.75.084032.
Deser, S., Tekin, Bayram, and Department of Physics, Faculty of Arts and Sciences, Middle East Technical University, 06531, Ankara. Sun . "New energy definition for higher-curvature gravities". United States. doi:10.1103/PHYSREVD.75.084032.
@article{osti_21020401,
title = {New energy definition for higher-curvature gravities},
author = {Deser, S. and Tekin, Bayram and Department of Physics, Faculty of Arts and Sciences, Middle East Technical University, 06531, Ankara},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.75.084032},
journal = {Physical Review. D, Particles Fields},
number = 8,
volume = 75,
place = {United States},
year = {Sun Apr 15 00:00:00 EDT 2007},
month = {Sun Apr 15 00:00:00 EDT 2007}
}