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Two-post-Newtonian approximation of the scalar-tensor theory with an intermediate-range force for general matter

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Abstract

Some future space missions measure distances of laser links and angles with unprecedented precision, allowing us to test theories of gravity up to the two-post-Newtonian (2PN) order. Besides, investigation of an intermediate-range force has been of considerable interests in gravitational experiments. Inspired by these ideas, within the framework of the scalar-tensor theory with an intermediate-range force, its 2PN approximation is obtained with Chandrasekhar’s approach. It includes the 2PN metric and equations of motion for general matter without specific equation of state. The conserved quantities to the 2PN order are isolated with the aid of the energy-momentum complex. We also discuss the prospect of testing and distinguishing the intermediate-range force with the orbital motions of celestial bodies and spacecrafts.

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  1. Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing, 210008, China

    XueMei Deng

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  1. XueMei Deng
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Deng, X. Two-post-Newtonian approximation of the scalar-tensor theory with an intermediate-range force for general matter. Sci. China Phys. Mech. Astron. 58, 1–8 (2015). https://doi.org/10.1007/s11433-014-5589-8

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  • DOI: https://doi.org/10.1007/s11433-014-5589-8

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