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Generalized GHY term for f(R) Gravity

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 ${\partial}_{c}{δg}_{ab}$ on the boundary.

preprint2014arXivOpen access
Ahmed AlhamzawiRahim Alhamzawi
gr-qc
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Open access2 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Ahmed AlhamzawiRahim Alhamzawi

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