Abstract
A new method of calculation is given for arbitrary tensors in Riemann normal coordinates. Inventing a compact notation for an abstract form of tensors which is suitable to a noncommutative algebra system, we carry out the computer calculations to obtain coefficients of the Taylor expansion of tensors in Riemann normal coordinates. Explicit forms are given up to the tenth order for the metric tensor.
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Yamashita, Y. Computer calculation of tensors in Riemann normal coordinates. Gen Relat Gravit 16, 99–110 (1984). https://doi.org/10.1007/BF00762439
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DOI: https://doi.org/10.1007/BF00762439