Extra force in f(R) modified theories of gravity

被引：767
作者：
Bertolami, Orfeu
Bohmer, Christian G.
Harko, Tiberiu
Lobo, Francisco S. N.
机构：
[1] Inst Super Tecn, Dept Fis, P-1049001 Lisbon, Portugal
[2] Inst Super Tecn, Ctr Fis Plasmas, P-1049001 Lisbon, Portugal
[3] Univ Portsmouth, Inst Cosmol & Gravitat, Portsmouth PO1 2EG, Hants, England
[4] Univ Hong Kong, Dept Phys, Hong Kong, Hong Kong, Peoples R China
[5] Univ Hong Kong, Ctr Theoret & Computat Phys, Hong Kong, Hong Kong, Peoples R China
[6] Univ Lisbon, Ctr Astron & Astrofis, P-1749016 Lisbon, Portugal
来源：
PHYSICAL REVIEW D | 2007年 / 75卷 / 10期
关键词：
D O I：
10.1103/PhysRevD.75.104016
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The equation of motion for massive 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.
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页数：5
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