Solar System constraints to general f(R) gravity

被引:305
作者
Chiba, Takeshi [1 ]
Smith, Tristan L.
Erickcek, Adrienne L.
机构
[1] Nihon Univ, Dept Phys, Coll Humanities & Sci, Tokyo 4568550, Japan
[2] CALTECH, Pasadena, CA 91125 USA
来源
PHYSICAL REVIEW D | 2007年 / 75卷 / 12期
关键词
D O I
10.1103/PhysRevD.75.124014
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
It has been proposed that cosmic acceleration or inflation can be driven by replacing the Einstein-Hilbert action of general relativity with a function f(R) of the Ricci scalar R. Such f(R) gravity theories have been shown to be equivalent to scalar-tensor theories of gravity that are incompatible with Solar System tests of general relativity, as long as the scalar field propagates over Solar System scales. Specifically, the parameterized post-Newtonian (PPN) parameter in the equivalent scalar-tensor theory is gamma=1/2, which is far outside the range allowed by observations. In response to a flurry of papers that questioned the equivalence of f(R) theory to scalar-tensor theories, it was recently shown explicitly, without resorting to the scalar-tensor equivalence, that the vacuum field equations for 1/R gravity around a spherically symmetric mass also yield gamma=1/2. Here we generalize this analysis to f(R) gravity and enumerate the conditions that, when satisfied by the function f(R), lead to the prediction that gamma=1/2.
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