Solar system tests of the equivalence principle and constraints on higher dimensional gravity
Solar system tests of the equivalence principle and constraints on higher dimensional gravity
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太阳系等效原理测试和高维引力约束
DOI：
10.1103/physrevd.62.102001
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
J. Overduin
中科院分区：
文献类型：
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作者：
J. Overduin
在大多数关于太阳系天体违反等效原理的研究中，假设给定天体的引力与惯性质量之比偏离统一参数$\ensuremath{\Delta}$，该参数与其引力自能成正比。在这里，我们询问当放松这一假设时，可以对各种太阳系物体的 $\ensuremath{\Delta}$ 设置哪些实验约束。扩展最初由 Nordtvedt 提出的分析，我们从开普勒第三定律、拉格朗日平动点的位置和轨道极化现象获得了两个或多个物体的 $\ensuremath{\Delta}$ 线性独立组合的上限。结合我们的结果，我们使用太阳、月球、地球和木星的轨道观测数据以及特洛伊小行星的轨道观测数据，提取了 $\ensuremath{\Delta}$ 的数值上限。这些被用作高维（Kaluza-Klein）引力理论的测试用例。结果比之前对理论的限制强了三到六个数量级，证实了先前的建议，即额外维度在太阳系动力学中发挥的作用可以忽略不计，并加强了等效原理测试作为非标准引力理论探索的价值。
In most studies of equivalence principle violation by solar system bodies it is assumed that the ratio of gravitational to inertial mass for a given body deviates from unity by a parameter $\ensuremath{\Delta}$ which is proportional to its gravitational self-energy. Here we inquire what experimental constraints can be set on $\ensuremath{\Delta}$ for various solar system objects when this assumption is relaxed. Extending an analysis originally due to Nordtvedt, we obtain upper limits on linearly independent combinations of $\ensuremath{\Delta}$ for two or more bodies from Kepler's third law, the position of Lagrange libration points, and the phenomenon of orbital polarization. Combining our results, we extract numerical upper bounds on $\ensuremath{\Delta}$ for the Sun, Moon, Earth and Jupiter, using observational data on their orbits as well as those of the Trojan asteroids. These are applied as a test case to the theory of higher-dimensional (Kaluza-Klein) gravity. The results are three to six orders of magnitude stronger than previous constraints on the theory, confirming earlier suggestions that extra dimensions play a negligible role in solar system dynamics and reinforcing the value of equivalence principle tests as a probe of nonstandard gravitational theories.