http://ned.ipac.caltech.edu/level5/March01/Carroll3/Carroll3.html
Lecture Notes on General Relativity - S. Carroll - NED
ned.ipac.caltech.edu/.../Carroll3.html
The primary usefulness of geodesics in general relativity is that they are the paths .... We have already argued, using the two-sphere as an example, that parallel ...
California Institute of Technology
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Lecture Notes on General Relativity - S. Carroll - NED
ned.ipac.caltech.edu/.../Carroll7.html
(In this section the word "sphere" means S2, not spheres of higher dimension.) ..... The geodesic equation therefore turns into the following four equations, where .... In general relativity the situation is different, but only for r sufficiently small.
California Institute of Technology
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