Geodesics of Robertson-Walker Universes

Details Geodesics of Robertson-Walker Universes Geodesics of Robertson-Walker Universes

Oct 1969

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1969phrv..186.1347n&link_type=abstract

Physical Review, vol. 186, Issue 5, pp. 1347-1351

Physics

1

Scientific paper

The complete set of geodesics is obtained for Robertson-Walker universes with arbitrary R(t), from those geodesics whose spatial projections pass through the origin, by inducing a translation of origin through the rotation of a hypersphere whose stereographic projections form the space sections. The results are applied to the calculation, in a Milne universe, of the angular displacement of a particle initially projected at high velocity accross the line of sight. This displacement proves to be bounded, the upper bound being attained reasonably fast, on a cosmic time scale.

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