In the article “The equivalence principle in the Schwarzschild geometry” [Am. J. Phys. 62, 1037–1040 (1994)], some manifestation of the equivalence principle in Schwarzschild spacetime was studied. We point out that the result for the Riemann-tensor component in this article is incorrect because only the first order terms in the metric expansion are taken into account. We show the corrected result, illustrating the importance of the second order terms in the approximate metric in computing curvature quantities.

中文翻译：

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评“施瓦西几何中的等价原理”[Am. J.物理。62, 1037 (1994)]

在文章“Schwarzschild 几何中的等效原理”[Am. J.物理。62, 1037–1040 (1994)]，研究了 Schwarzschild 时空等效原理的一些表现形式。我们指出本文中黎曼张量分量的结果是不正确的，因为仅考虑了度量扩展中的一阶项。我们展示了修正后的结果，说明了二阶项在计算曲率量的近似度量中的重要性。