A new method for solving perturbation equations

Details A new method for solving perturbation equations A new method for solving perturbation equations

Dec 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979gregr..11..321w&link_type=abstract

General Relativity and Gravitation, vol. 11, Dec. 1979, p. 321-324. Research supported by the Alfred P. Sloan Foundation

Astronomy and Astrophysics

Astronomy

3

Gravitation Theory, Linear Equations, Partial Differential Equations, Perturbation Theory, Relativity, Black Holes (Astronomy), Einstein Equations, Maxwell Equation, Metric Space, Reissner Theory

Scientific paper

A new, generally applicable technique is described for constructing solutions of a coupled linear system of partial differential equations when a decoupled equation has been derived. This method has already yielded an extremely simple derivation of perturbation formulas given by Cohen and Kegeles and by Chrzanowski as well as new formulas for the complete solutions of the coupled Einstein-Maxwell equations describing Reissner-Nordstrom perturbations. It is hoped that it will prove valuable for many other applications.

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