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SOLAR SYSTEM. TESTS OF HIGHER DIMENSIONAL GRAVITY

机译：太阳系。高维重力测试

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The classical tests of general relativity—light deflection, time delay, and perihelion shift—are applied, along with the geodetic precession test, to the five-dimensional extension of the theory known as Kaluza-Klein gravity, using an analog of the four-dimensional Schwarzschild metric. The perihelion advance and geodetic precession calculations are generalized for the first time to situations in which the components of momentum and spin along the extra coordinate do not vanish. Existing data on light-bending around the Sun using long-baseline radio interferometry, ranging to Mars using the Viking Lander, and the perihelion precession of Mercury all constrain a small parameter b associated with the extra part of the metric to be less than |b | < 0.07 in the solar system. An order of magnitude increase in sensitivity is possible from perihelion precession, if better limits on solar oblateness become available. Measurement of geodetic precession by the Gravity Probe B satellite will improve this significantly, probing values of b with an accuracy of one part in 10~4 or more.
机译：广义相对论的经典测试（光偏转，时间延迟和近日点偏移）与大地测量进动测试一起被应用到了称为Kaluza-Klein重力的理论的五维扩展上，使用了四个维Schwarzschild指标。近日点进动和大地测量进动计算首次被推广到动量和沿额外坐标旋转的分量不消失的情况。现有的有关使用长基线无线电干涉仪围绕太阳弯曲的数据，使用维京号登陆器测距到火星以及水星近日点进动的所有数据都将与度量标准的多余部分相关的小参数b限制为小于| b |在太阳系中<0.07。如果可以更好地限制太阳扁圆度，近日点进动的灵敏度可能会增加一个数量级。用重力探测器B卫星测量大地进动将大大改善这一情况，以10到4或更高的精度探测b值。

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