Abstract
The equation of geodesic deviation is solved in conformally flat space–time in a covariant manner. The solution is given as an integral equation for general geodesics. The solution is then used to evaluate second derivatives of the world function and derivatives of the parallel propagator, which need to be known in order to find the Green’s function for wave equations in curved space–time. A method of null geodesic limits of two-point functions is discussed, and used to find the scalar Green’s function as an iterative series.
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