A class of axisymmetric stationary exact solutions of Einstein-Maxwell equations

Details A class of axisymmetric stationary exact solutions of Einstein-Maxwell equations A class of axisymmetric stationary exact solutions of Einstein-Maxwell equations

Mar 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979jpha...12..383p&link_type=abstract

Journal of Physics A - Mathematical and General, vol. 12, Mar. 1979, p. 383-391.

Physics

Einstein Equations, Field Theory (Physics), Invariance, Maxwell Equation, Space-Time Functions, Asymptotic Series, Conformal Mapping, Eigenvectors, Electric Fields, Electromagnetic Fields, Partial Differential Equations, Symmetry, Tensors

Scientific paper

Einstein-Maxwell vacuum field equations of an axially symmetric stationary charged rotating source are studied. A class of asymptotically flat solutions representing the exterior field of a stationary rotating charged oblate spheroidal source is obtained. By examining eigenvectors of the Einstein tensor, certain Riemann invariants, and Petrov's classification of Weyl's conformal curvature tensor, it is proved that the metric potentials describe null electromagnetic fields.

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