Electromagnetic waves in Kerr geometry

Details Electromagnetic waves in Kerr geometry Electromagnetic waves in Kerr geometry

Nov 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986rspsa.408...23k&link_type=abstract

Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences (ISSN 0080-4630), vol. 408, no. 1834, Nov. 8,

Mathematics

1

Electromagnetic Radiation, Gravitational Effects, Kerr Effects, Magnetic Fields, Multipoles, Space-Time Functions, Hamiltonian Functions, Matrices (Mathematics), Maxwell Equation

Scientific paper

The mathematical operators which characterize the separation constants of the Maxwell equations are determined. The analogues of electric and magnetic multipoles for electromagnetic waves in a Kerr geometry are derived. The properties of the matrix differential operators describing these separable solutions are discussed in detail for Minkowski space. It is noted that when the Maxwell equations are written in terms of the four-vector potential the resulting solutions can be written in separable form and characterized by a triplet of matrix differential operators.

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