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arXiv 0810.5430astro-phgr-qchep-th
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太阳系测试不排除1/R引力

Solar system tests do not rule out 1/R gravity

Qasem Exirifard

摘要:

我们认为,太阳系的测试并没有排除1/R引力,至少是由于物理评论D 74(2006)121501 [astro-ph/0610483](参考文献[1])和随后发表的论文中提到的原因。文献[1]不仅修改了Einstein-Hilbert作用量,而且改变了边界条件,因为它们改变了运动方程。在爱因斯坦-希尔伯特作用量方程中是二阶的,因此场的衰减足以挑出唯一的解。在1/R引力中,方程是四阶的,所以我们应该施加额外的边界条件。也许我们必须施加的边界条件是,通过在运动方程中加入“1/R”修正,在太阳表面附近度规的二阶导数的突变保持不变。在此边界条件下的1/R引力解与太阳系实验结果一致。参考文献[1]假设,只要他们微扰修改的方程,然后里奇标量变得光滑的太阳表面。这个假设是完全错误的,因为边界条件和运动方程是两个不同的实体。

英文摘要:

We argue that Solar system tests do not rule out 1/R gravity at least due to the reason addressed in Phys. Rev. D 74 (2006) 121501 [astro-ph/0610483] (ref. [1]) and subsequent published papers. Ref. [1] has not only modified the Einstein-Hilbert action but also has changed the boundary conditions since they altered the equations of motion. In Einstein-Hilbert action equations are second order, so the fall off of the fields suffices to single out a unique solution. In 1/R gravity the equations are fourth order, so we should impose additional boundary conditions. Perhaps the boundary condition we must impose is that the abrupt change in the second derivative of the metric near the surface of the Sun remains intact by adding `1/R' corrections to the equations of motion. The solution of 1/R gravity with this boundary condition remains consistent with the solar system tests. Ref. [1] assumes that as soon as they perturbatively modified the equations then the Ricci scalar becomes smooth on the surface of the Sun. This assumption is simply wrong because the boundary conditions and equations of motions are two different entities.

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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