New Energy Definition for Higher Curvature Gravities

Details New Energy Definition for Higher Curvature Gravities New Energy Definition for Higher Curvature Gravities

2007-01-25

arxiv.org/abs/gr-qc/0701140v2

Phys.Rev.D75:084032,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

3 pages, Typos fixed

Scientific paper

10.1103/PhysRevD.75.084032

We propose a novel but natural definition of conserved quantities for gravity models quadratic and higher in curvature. Based on the spatial asymptotics of curvature rather than of metric, it avoids the GR energy machinery's 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.

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