A class of static coupled zero-mass and electromagnetic fields

Details A class of static coupled zero-mass and electromagnetic fields A class of static coupled zero-mass and electromagnetic fields

Nov 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979gregr..11..253t&link_type=abstract

General Relativity and Gravitation, vol. 11, Nov. 1979, p. 253-259.

Physics

2

Electric Fields, Electromagnetic Fields, Electrostatics, Laplace Equation, Coulomb Potential, Relativity, Schwarzschild Metric

Scientific paper

A class of solutions, which may be called the Majumdar-Papapetrou (MP) class, has been derived for static coupled zero-mass and source-free electromagnetic fields. This has been done in two stages. First, it has been shown that the well-known MP relation between the component of the metric tensor and the electrostatic potential, in certain physical situations, continues to remain the same without being affected by the presence of the zero-mass field. Second, using the method of Majumdar, a theorem has been derived that enables one to generate solutions for the coupled field from Einstein's vacuum equations along with the solution of a differential equation which, due to its resemblance, may be called a generalized Laplace equation.

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