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arXiv 1801.08136gr-qcastro-ph.HE
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$f(R)$重力场II中汤川引力势的分析:相对论性近星点推进

Analysis of the Yukawa gravitational potential in $f(R)$ gravity II: relativistic periastron advance

Mariafelicia De Laurentis, Ivan De Martino, Ruth Lazkoz

摘要:

引力的替代理论可能有助于克服标准宇宙学模型的几个缺点,但是,在它们的弱场限制下,广义相对论必须恢复,以便在太阳系尺度上与严格的约束相匹配。因此,在恒星系统的尺度上测试这种替代模型可以提供一个独特的机会来确认或排除它们。最直接的修改之一是由分析$f(R)$ -重力模型,介绍了一个Yukawa修改牛顿势,从而修改粒子的动力学。使用测地线方程,我们已经说明了这些修改的幅度。首先,我们对运动方程进行了数值积分,这些方程显示了粒子围绕大质量物体的轨道进动。其次,我们计算了半长轴远短于汤川尺度长度的系统的近星点推进的解析表达式。最后,我们将我们的结果推广到由两个大质量物体组成的双星系统的情况。我们的分析提供了一个强大的工具,以获得约束的基础理论的重力使用当前和即将到来的数据集。

英文摘要:

Alternative theories of gravity may serve to overcame several shortcomings of the standard cosmological model but, in their weak field limit, General Relativity must be recovered so as to match the tight constraints at the Solar System scale. Therefore, testing such alternative models at scales of stellar systems could give a unique opportunity to confirm or rule them out. One of the most straightforward modifications is represented by analytical $f(R)$-gravity models that introduce a Yukawa-like modification to the Newtonian potential thus modifying the dynamics of particles. Using the geodesics equations, we have illustrated the amplitude of these modifications. First, we have integrated numerically the equations of motion showing the orbital precession of a particle around a massive object. Second, we have computed an analytic expression for the periastron advance of systems having their semi-major axis much shorter than the Yukawa-scale length. Finally, we have extended our results to the case of a binary system composed of two massive objects. Our analysis provides a powerful tool to obtain constraints on the underlying theory of gravity using current and forthcoming datasets.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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