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The Geodetic Interval in a Riemannian Space-Time in the Second Post-Minkowskian Approximation

Published online by Cambridge University Press:  07 February 2017

Reiner Wilhelm John
Reiner Wilhelm John*
Affiliation:
Zentralinstitut für Astrophysik der Akademie der Wissenschaften der D.D.R., Potsdam-Babelsberg, G.D.R.

Abstract

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The knowledge of the geodetic interval between two points in a Riemannian space-time with the metric gab is essential for statements on the time delay in a gravitational field represented by gab and makes possible to derive explicit criteria for clear-cut wave propagation. The nonlinear differential equation for the geodetic interval is integrated via perturbation expansion in the second post-Minkowskian approximation.

Type
Part II: Stability and Collapse
Information
Symposium - International Astronomical Union , Volume 64: Gravitational Radiation and Gravitational Collapse , 1974 , pp. 100
Copyright
Copyright © Reidel 1974