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arXiv 0909.2562gr-qcastro-ph.EPhep-phphysics.space-ph
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太阳系轨道运动对Horava-Lifshitz引力中Kehagias-Sfetsos解的唯象约束

Phenomenological constraints on the Kehagias-Sfetsos solution in the Horava-Lifshitz gravity from solar system orbital motions

Lorenzo Iorio, Matteo Luca Ruggiero

摘要:

本文主要讨论Horava-Lifshitz(HL)引力理论,特别是与广义相对论中Schwarzschild黑洞类似的Kehagias和Sfetsos解。在弱场慢运动近似下,我们解析地计算了由该解引起的实验粒子近心点经度的长期岁差。它的解析形式不同于广义相对论爱因斯坦近心点进动的解析形式。然后,我们将其与最近由E. V. Pitjeva用EPM 2008星历估计的标准牛顿/爱因斯坦行星近日点岁差的修正的最新测定进行比较。结果发现,太阳系的行星,每次单独取一颗,可以将一维HL参数的下限设为10^-12(水星)10^-24(冥王星)。他们不能解释r > 20 AU的先锋异常加速度。

英文摘要:

We focus on Horava-Lifshitz (HL) theory of gravity, and, in particular, on the Kehagias and Sfetsos s solution that is the analog of Schwarzschild black hole of General Relativity. In the weak-field and slow-motion approximation we analytically work out the secular precession of the longitude of the pericentre of a test particle induced by this solution. Its analytical form is different from that of the general relativistic Einstein's pericentre precession. Then, we compare it to the latest determinations of the corrections to the standard Newtonian/ Einsteinian planetary perihelion precessions recently estimated by E.V. Pitjeva with the EPM2008 ephemerides. It turns out that the planets of the solar system, taken singularly one at a time, allow to put lower bounds on the adimensional HL parameter ψ_0 of the order of 10^-12 (Mercury) 10^-24 (Pluto). They are not able to account for the Pioneer anomalous acceleration for r > 20 AU.

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