Generalized GHY term for f(R) Gravity

2014/05/09 by Ahmed Alhamzawi, Alhamzawi, Ahmed, Rahim Alhamzawi +1
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc

paper · pdf · doi:10.48550/arxiv.1405.2189

3 pages, 0 figures

arxiv created 2014/05/12 · arxiv updated 2014/05/13

Abstract

A generalization to the Gibbons-Hawking-York boundary term for metric f(R) gravity theories is introduced. A redefinition of the Gibbons-Hawking-York term is proposed. The proposed new definition is used to derive a consistent set of field equations and is extended to metric f(R) gravity theories. The surface terms in the action are gathered into a total variation of some quantity. A total divergence term is added to the action to cancel these terms. Finally, the new definition is proven to demand no restrictions on the value of δg_ab or ∂_cδg_ab on the boundary.

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