A note on the integrability conditions for the existence of rational first integrals of the geodesic equations in a Riemannian space.

Details A note on the integrability conditions for the existence of rational first integrals of the geodesic equations in a Riemannian space. A note on the integrability conditions for the existence of rational first integrals of the geodesic equations in a Riemannian space.

Feb 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986gregr..18..207c&link_type=abstract

General Relativity and Gravitation, Volume 18, Issue 2, pp.207-214

Computer Science

3

Gravitation Theory

Scientific paper

Rational first integrals of the equation determining the geodesies of a
given Riemannian space are investigated. It is shown that integrability
conditions can be obtained for the existence of such integrals, the
conditions being analogous to those associated with linear first
integrals but, unfortunately, of a vastly more complicated form.

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