Null geodesic deviation. II. The Schwarzschild metric

Journal Article · Thu Apr 01 00:00:00 EST 1976 · J. Math. Phys. (N.Y.), v. 17, no. 4, pp. 546-553

DOI:https://doi.org/10.1063/1.522942· OSTI ID:4006126

Peters, P C

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)

• Research Organization: Department of Physics, University of Washington, Seattle, Washington 98195
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-032148
• OSTI ID: 4006126
• Journal Information: J. Math. Phys. (N.Y.), v. 17, no. 4, pp. 546-553, Other Information: Orig. Receipt Date: 30-JUN-76
• Country of Publication: United States
• Language: English

Related Subjects

N76300* -Physics (Theoretical)-Gravitation & General Relativity
644003*
*GENERAL RELATIVITY THEORY- SCHWARZSCHILD METRIC
ANALYTICAL SOLUTION
GREEN FUNCTION
METRICS
PROPAGATOR