Constraints on a scalar-tensor theory with an intermediate-range force by binary pulsars
Constraints on a scalar-tensor theory with an intermediate-range force by binary pulsars作者机构:Purple Mountain Observatory Chinese Academy of Sciences Nanjing 210008 China
出 版 物:《Science China(Physics,Mechanics & Astronomy)》 (中国科学:物理学、力学、天文学(英文版))
年 卷 期:2011年第54卷第11期
页 面:2071-2077页
核心收录:
学科分类:08[工学] 081401[工学-岩土工程] 0805[工学-材料科学与工程(可授工学、理学学位)] 0704[理学-天文学] 0814[工学-土木工程] 080101[工学-一般力学与力学基础] 0801[工学-力学(可授工学、理学学位)]
基 金:supported by the National Natural Science Foundation of China (Grant No. 11103085)
主 题:binary pulsars intermediate-range force post-Newtonian approximation
摘 要:Searching for an intermediate-range force has been considerable interests in gravity experiments. In this paper, aiming at a scalartensor 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 ω of binary pulsars in harmonic coordinates is given. After that, ω 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 G and λ. α and λ respectively represent the strength of the intermediate-range force coupling and its length scale. The limits from four binary pulsars data are respectively A = (4.95 ±0.02)× 10^8 m and a = (2.30±0.01)× 10^8 if β = 1, where fl is a parameter like standard parametrized post-Newtonian parameter βPPN. When three degrees of freedom (α, λ and β = β - 1 ) in lσ confidence level are considered, it yields α = (4.21 ±0.01)× 10^4, λ= (4.51 ±0.01)× 10^7 m and β = (-3.30 ±0.01)× 10^-3. Through our research on the scalar-tensor theory with the intermediate-range force, it shows that the parameter α is directly related to the parameter γ (α = (1 - γ)/(1 + γ)). Thus, this presents the constraints on 1 - γ by binary pulsars which is about 10^-4 for three degrees of freedom.