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08 February 2025
 
  » arxiv » 1109.0068

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Constraints on a scalar-tensor theory with an intermediate-range force by binary pulsars
Xue-Mei Deng ;
Date 1 Sep 2011
AbstractSearching for an intermediate-range force has been considerable interests in gravity experiments. In this paper, aiming at a scalar-tensor theory with an intermediate-range force, we have derived the metric and equations of motion (EOMs) in the first post-Newtonian (1PN) approximation for general matter without specific equation of state and $N$ point masses firstly. Subsequently, the secular periastron precession $dot{omega}$ of binary pulsars in harmonic coordinates is given. After that, $dot{omega}$ of four binary pulsars data (PSR B1913+16, PSR B1534+12, PSR J0737-3039 and PSR B2127+11C) have been used to constrain the intermediate-range force, namely, the parameters $alpha$ and $lambda$. $alpha$ and $lambda$ respectively represent the strength of the intermediate-range force coupling and its length scale. The limits from four binary pulsars data are respectively $lambda=(4.95pm0.02) imes10^{8}$m and $alpha=(2.30pm0.01) imes10^{-8}$ if $eta=1$ where $eta$ is a parameter like standard parametrized post-Newtonian parameter $eta_{PPN}$. When three degrees of freedom ($alpha$, $lambda$ and $ar{eta}equiveta-1$) in 1$sigma$ confidence level are considered, it yields $alpha=(4.21pm0.01) imes10^{-4}$, $lambda=(4.51pm0.01) imes10^{7}$m and $ar{eta}=(-3.30pm0.01) imes10^{-3}$. Through our research on the scalar-tensor theory with the intermediate-range force, it shows that the parameter $alpha$ is directly related to the parameter $gamma$ ($alpha=(1-gamma)/(1+gamma)$). Thus, this presents the constraints on $1-gamma$ by binary pulsars which is about $10^{-4}$ for three degrees of freedom.
Source arXiv, 1109.0068
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