Riemann Normal Coordinate expansions using Cadabra

Details Riemann Normal Coordinate expansions using Cadabra Riemann Normal Coordinate expansions using Cadabra

2009-03-12

arxiv.org/abs/0903.2087v1

Class.Quant.Grav.26:175017,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages

Scientific paper

10.1088/0264-9381/26/17/175017

We present the results of using the computer algebra program Cadabra to
develop Riemann normal coordinate expansions of the metric and other
geometrical quantities, in particular the geodesic arc-length. All of the
results are given to sixth-order in the curvature tensor.

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