Energy-momentum complexes in f(R) theories of gravity

Details Energy-momentum complexes in f(R) theories of gravity Energy-momentum complexes in f(R) theories of gravity

2007-12-03

arxiv.org/abs/0712.0276v2

Class.Quant.Grav.25:075017,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, no figures, LaTeX; v2: 9 pages now, rearranged Sections, references added, no changes in physics and results, versio

Scientific paper

10.1088/0264-9381/25/7/075017

Despite the fact that modified theories of gravity, in particular the f(R) gravity models have attracted much attention in the last years, the problem of the energy localization in the framework of these models has not been addressed. In the present work the concept of energy-momentum complexes is presented in this context. We generalize the Landau-Lifshitz prescription of calculating the energy-momentum complex to the framework of f(R) gravity. As an important special case, we explicitly calculate the energy-momentum complex for the Schwarzschild-de Sitter metric for a general f(R) theory as well as for a number of specific, popular choices of f(R).

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