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arXiv 0704.1733gr-qcastro-phhep-th
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$f(R)$修正引力理论中的额外力

Extra force in $f(R)$ modified theories of gravity

Orfeu Bertolami, Christian G. Boehmer, Tiberiu Harko, Francisco S. N. Lobo

摘要:

推导了$f(R)$修正引力理论中试验粒子的运动方程。通过考虑一个明确的耦合之间的任意函数的标量曲率,$R$,和拉格朗日密度的物质,它表明,一个额外的力出现。该外力与四速度正交,在弱场极限下得到了相应的加速度定律。与MOND和先锋异常的连接进行了进一步讨论。

英文摘要:

The equation of motion for test particles in $f(R)$ modified theories of gravity is derived. By considering an explicit coupling between an arbitrary function of the scalar curvature, $R$, and the Lagrangian density of matter, it is shown that an extra force arises. This extra force is orthogonal to the four-velocity and the corresponding acceleration law is obtained in the weak field limit. Connections with MOND and with the Pioneer anomaly are further discussed.

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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