期刊
GENERAL RELATIVITY AND GRAVITATION
卷 42, 期 11, 页码 2713-2728出版社
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10714-010-1012-6
关键词
Modified theories of gravity; f(R) gravity; Variational principles
资金
- Programa de Becas para Estudiantes Sobresalientes de Posgrado, Universidad Nacional de Colombia
The main goal of this paper is to get in a straightforward form the field equations in metric f (R) gravity, using elementary variational principles and adding a boundary term in the action, instead of the usual treatment in an equivalent scalar-tensor approach. We start with a brief review of the Einstein-Hilbert action, together with the Gibbons-York-Hawking boundary term, which is mentioned in some literature, but is generally missing. Next we present in detail the field equations in metric f (R) gravity, including the discussion about boundaries, and we compare with the Gibbons-York-Hawking term in General Relativity. We notice that this boundary term is necessary in order to have a well defined extremal action principle under metric variation.
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