The geodesic distance in a Riemann space-time in a second post-Minkowski approximation

Details The geodesic distance in a Riemann space-time in a second post-Minkowski approximation The geodesic distance in a Riemann space-time in a second post-Minkowski approximation

Nov 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974zamm...54..737j&link_type=abstract

Zeitschrift für angewandte Mathematik und Mechanik, vol. 54, Nov. 1974, p. 737-740. In German.

Other

Approximation, Gravitational Fields, Minkowski Space, Riemann Manifold, Schwarzschild Metric, Space-Time Functions, Einstein Equations, Gravitation Theory, Vector Analysis

Scientific paper

A Riemann space-time manifold is considered and the geodesic distance is introduced for two points which are sufficiently close to each other. Attention is given to symmetry relations, the representation of the solution of the differential equations, and the Schwarzschild line element for the gravitational field of a central mass. The square of the geodesic distance of two points in the external Schwarzschild field is obtained, taking into account the second approximation.

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