|Author||Peters, P. C.|
|Source||United States Department of Energy Office of Scientific and Technical Information|
|Subject Keyword||Physics (Theoretical)-Gravitation & General Relativity ♦ GENERAL RELATIVITY THEORY- SCHWARZSCHILD METRIC ♦ ANALYTICAL SOLUTION ♦ GREEN FUNCTION ♦ METRICS ♦ PROPAGATOR|
|Abstract||The equation of geodesic deviation is solved in the Schwarzschild geometry in a covariant manner. The solution is exact for null geodesics, and is given as an integral equation otherwise. 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. The method of null geodesic limits is used to calculate higher order derivatives, and the results are applied to the scalar Green's function in the Schwarzschild geometry. (AIP)|
|Learning Resource Type||Article|
|Publisher Department||Department of Physics, University of Washington, Seattle, Washington 98195|
|Publisher Place||United States|
|Journal||J. Math. Phys.|
|Organization||Department of Physics, University of Washington, Seattle, Washington 98195|
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