Einstein-Maxwell fields inside and outside rotating sources as minimal surfaces

Details Einstein-Maxwell fields inside and outside rotating sources as minimal surfaces Einstein-Maxwell fields inside and outside rotating sources as minimal surfaces

Nov 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cqgra...1..695n&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 1, Nov. 11, 1984, p. 695-703.

Computer Science

11

Einstein Equations, Electromagnetic Fields, Gravitational Fields, Maxwell Equation, Rotating Bodies, Incompressible Fluids

Scientific paper

The Einstein-Maxwell fields of a rigidly rotating charged perfect fluid are investigated analytically, using a minimal-surface formalism to obtain a purely geometrical characterization of the electromagnetic and gravitational field inside and outside the source. The fields are shown to describe minimal surfaces in a six-dimensional Riemannian 'potential' or charged-fluid space, and the final results are shown to be minimal-surface formulations of the exterior and interior Schwarzschild solutions.

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