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arXiv 0808.0256gr-qcastro-phhep-phphysics.space-ph
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用双脉冲星PSR J0737-3039约束宇宙学常数和DGP引力

Constraining the cosmological constant and the DGP gravity with the double pulsar PSR J0737-3039

Lorenzo Iorio

摘要:

我们认为双脉冲星双星系统作为一个实验室,在已知的广义相对论引力定律和DGP膜世界引力模型的框架内,局部测试由均匀的宇宙学常数$Λ$引起的轨道效应,而与宇宙学加速度本身无关。我们首先构造了由唯象方法确定的近星点速率\dot ω和轨道周期与它们的1 PN近似和开普勒定律第三定律预测值之间的偏差的比值R=Delta \dot ω/Delta P。然后,我们比较其值R =(0.3 +/- 4)\times 10^-11 s^-2,误差范围内为零,与λ和DGP引力对拱点速率和轨道周期的影响之比R_λ和R_DGP的关系;我们发现它们与R完全不相容,R_λ =(3.4 +/- 0.3)\times 10^-8 s^-2,R_DGP =(1.4 +/- 0.1)\times 10^-7 s^-2。这样的结果,这对于λ的情况下,也是有效的任何其他胡克的外来力成比例的r,是在协议与其他负本地测试最近在太阳系中进行的非牛顿/爱因斯坦近日点进动的几对行星的比率。

英文摘要:

We consider the double pulsar binary system as a laboratory to locally test the orbital effects induced by an uniform cosmological constant $Λ$ in the framework of the known general relativistic laws of gravity, and the DGP braneworld model of gravity independently of the cosmological acceleration itself for which they were introduced. We, first, construct the ratio R=Delta\dotω/Delta P of the discrepancies between the phenomenologically determined periastron rate \dotωand orbital period and their predicted values from the 1PN approximation and the third Kepler law. Then, we compare its value R = (0.3 +/- 4) \times 10^-11 s^-2, compatible with zero within the errors, to the ratios R_Lambda and R_DGP of the effects induced on the apsidal rate and the orbital period by Lambda and the DGP gravity; we find them neatly incompatible with R being R_Lambda = (3.4 +/- 0.3) \times 10^-8 s^-2 and R_DGP = (1.4 +/- 0.1) \times 10^-7 s^-2, respectively. Such a result, which for the case of Lambda is valid also for any other Hooke-like exotic force proportional to r, is in agreement with other negative local tests recently performed in the Solar System with the ratios of the non-Newtonian/Einsteinian perihelion precessions for several pairs of planets.

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