Tuomas Multamäki et al 2008 Class. Quantum Grav. 25 075017 doi:10.1088/0264-9381/25/7/075017
Energy–momentum complexes in f(R) theories of gravity
Tuomas Multamäki1, Antti Putaja1, Iiro Vilja1 and Elias C Vagenas2
Show affiliationsDespite the fact that modified theories of gravity, in particular the f(R) gravity models have attracted much attention in previous 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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Issue 7 (7 April 2008)
Received 4 January 2008, in final form 22 February 2008
Published 18 March 2008
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Energy–momentum complexes in f(R) theories of gravity
Tuomas Multamäki et al 2008 Class. Quantum Grav. 25 075017
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