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. https://resolver.caltech.edu/CaltechAUTHORS:CHIprd07
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Abstract
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) | ||||||
Issue or Number: | 12 | ||||||
DOI: | 10.1103/PhysRevD.75.124014 | ||||||
Record Number: | CaltechAUTHORS:CHIprd07 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:CHIprd07 | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 8484 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | Archive Administrator | ||||||
Deposited On: | 15 Aug 2007 | ||||||
Last Modified: | 08 Nov 2021 20:50 |
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