Computer calculation of tensors in Riemann normal coordinates

Details Computer calculation of tensors in Riemann normal coordinates Computer calculation of tensors in Riemann normal coordinates

Feb 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16...99y&link_type=abstract

General Relativity and Gravitation, Volume 16, Issue 2, pp.99-110

Mathematics

Commutative Algebra

2

Scientific paper

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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