The speed of light on the Earth and in the gravity-free space

Ting-Hang Pei
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Abstract

The metric for describing the spacetime geometry of a charged and rotating source in general relativity is the Kerr-Newman metrics, and it is an appropriate one to discuss the movement on the Earth. It is explicit that the velocity of light we measure is dependent on the rotation and net charges of the Earth, and usually the measurements are less than it in the really free space, at infinity or the gravity-free space, as long as the net charges of the Earth are less than 1.4x10^19 C. According to this, the velocity of light in the really gravity-free space should be corrected. When we adopt the coordinate time at infinity as the unified time at each measurement placement on the Earth, it is 0.2085 m/s slightly larger than what we identify in vacuum on the Earth, 2.9979458x10^8 m/s. The calculations also show the tiny deviation on the speed of light along the longitudinal direction between two poles and the equator, and it also exists deviation between the left-handed circularly light and the right-handed circularly one in the equator. We also discuss the difference on the speed of light in the local reference frame by using the proper time.
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光在地球和无重力空间中的速度
广义相对论中描述带电旋转源的时空几何的度规是克尔-纽曼度规,它是讨论地球上运动的合适度规。很明显,我们测量的光速依赖于地球的自转和净电荷,通常在真自由空间、无穷远或无重力空间中测量的速度都小于它,只要地球的净电荷小于1.4 × 10^19 c,根据这一点,在真无重力空间中的光速应该进行修正。当我们在地球上的每一个测量点采用无穷远的坐标时间作为统一时间时,它比我们在地球上的真空中所识别的时间(2.9979458 × 10^8 m/s)稍大0.2085 m/s。计算结果还表明,两极与赤道之间的光速在纵向上存在微小的偏差,而在赤道上的左手圆形光与右手圆形光之间也存在偏差。我们还用固有时讨论了在局部参考系中光速的差异。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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