Mathematics – Complex Variables
Scientific paper
Sep 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cqgra...4.1133t&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 4, Sept. 1, 1987, p. 1133-1142. Research supported by the Foreign and Commo
Mathematics
Complex Variables
10
Complex Variables, Electromagnetism, Gravitation Theory, Perturbation Theory, Black Holes (Astronomy), Coupled Modes, Einstein Equations, Partial Differential Equations, Vector Analysis
Scientific paper
The coupled gravitational and electromagnetic perturbations of the Reissner-Nordstrom solution are obtained by means of complex potentials. The complete metric and vector potential perturbations are given in terms of the first derivatives of a set of potentials which obeys a system of four first-order linear partial differential equations that can be solved by separation of variables.
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