具有完全反对称挠率的局部惯性坐标
Locally inertial coordinates with totally antisymmetric torsion
摘要：
证明了在$U^4$ -空间的点$p$上建立局部惯性坐标，从而保证等价原理在该点有效的充要条件是扭曲张量的对称部分在$p$处为零.这个事实并不要求挠率为零，而只要求挠率为全反对称的。作为应用，我们导出了测地偏差方程，并证明了它与牛顿极限的相容性。
英文摘要：
We show that the necessary and sufficient condition for erecting locally inertial coordinates at a point $p$ of a $U^4$-space, and therefore assuring the validity of the equivalence principle at that point, is the vanishing at $p$ of the symmetric part of the contortion tensor. This fact does not demand a vanishing torsion, but only a totally antisymmetric one. As an application, we derive the geodesic deviation equation; and prove the compatibility with the Newtonian limit.
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