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Solar System constraints to general f(R) gravity

Chiba, Takeshi and Smith, Tristan L. and Erickcek, Adrienne L. (2007) Solar System constraints to general f(R) gravity. Physical Review D, 75 (12). Art. No. 124014. ISSN 2470-0010. doi:10.1103/PhysRevD.75.124014.

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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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Additional Information:©2007 The American Physical Society (Received 6 December 2006; published 20 June 2007) During the final preparations of this paper we learned of recent work along similar lines [28]. T.L.S. and A.L.E. thank Marc Kamionkowski for useful suggestions and conversations. T.C. was supported in part by a Grant-in-Aid for Scientific Research (No. 17204018) from the Japan Society for the Promotion of Science and in part by Nihon University. T.L.S. is supported in part by DOE DE-FG03-92-ER40701, NASA NNG05GF69G, and the Gordon and Betty Moore Foundation. A.L.E. acknowledges the support of the NSF. See Also: * Comment on “Solar System constraints to general f(R) gravity”. Valerio Faraoni and Nicolas Lanahan-Tremblay. Phys. Rev. D 77, 108501 (2008). * Reply to “Comment on `Solar System constraints to general f(R) gravity'”. Takeshi Chiba, Tristan L. Smith, and Adrienne L. Erickcek. Phys. Rev. D 77, 108502 (2008)
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ID Code:8484
Deposited By: Archive Administrator
Deposited On:15 Aug 2007
Last Modified:08 Nov 2021 20:50

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