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Post-Newtonian parameter γ in generalized non-local gravity

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Abstract

We investigate the post-Newtonian parameter γ and derive its formalism in generalized non-local (GNL) gravity, which is the modified theory of general relativity (GR) obtained by adding a term m 2n−2 R☐−n R to the Einstein-Hilbert action. Concretely, based on parametrizing the generalized non-local action in which gravity is described by a series of dynamical scalar fields ϕ i in addition to the metric tensor g μν, the post-Newtonian limit is computed, and the effective gravitational constant as well as the post-Newtonian parameters are directly obtained from the generalized non-local gravity. Moreover, by discussing the values of the parametrized post-Newtonian parameters γ, we can compare our expressions and results with those in Hohmann and Järv et al. (2016), as well as current observational constraints on the values of γ in Will (2006). Hence, we draw restrictions on the nonminimal coupling terms F̅ around their background values.

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Authors and Affiliations

  1. Department of Physics, Liaoning Normal University, Dalian, 116029, China

    Xue Zhang, YaBo Wu, WeiQiang Yang, ChengYuan Zhang, BoHai Chen & Nan Zhang

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  1. Xue Zhang
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Correspondence to YaBo Wu.

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Zhang, X., Wu, Y., Yang, W. et al. Post-Newtonian parameter γ in generalized non-local gravity. Sci. China Phys. Mech. Astron. 60, 100411 (2017). https://doi.org/10.1007/s11433-017-9067-x

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