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arXiv 1405.2189gr-qc
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f(R)引力的广义GHY项

Generalized GHY term for f(R) Gravity

Ahmed Alhamzawi, Rahim Alhamzawi

摘要:

介绍了度规$f(R)$引力理论中Gibbons-Hawking-York边界项的推广。提出了Gibbons-Hawking-York项的新定义。提出的新定义被用来导出一组一致的场方程,并被扩展到度量$f(R)$引力理论。作用中的表面项被聚集成某个量的总变化。一个总发散项被添加到动作中以抵消这些项。最后证明了新定义对边界上的${δg}_{ab}$或${\partial}_{c}{δg}_{ab}$的值没有限制。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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