Electrodynamics in an expanding universe.
Abstract
An algebraic form of the energy momentum tensor of the electromagnetic field is derived in terms of two scalars and two mutually orthogonal vector fields. Upon inserting this tensor into the field equations, solutions of the codetermined EinsteinMaxwell equations are obtained. The line element used is that corresponding to a conformal flat universe, whose form is then uniquely determined by the field equations. The case of a charged fluid is also considered and it is found that the particular form of the velocity field chosen limits the choice of the possible equation of state connecting the pressure and density distributions.
 Publication:

General Relativity and Gravitation
 Pub Date:
 June 1972
 DOI:
 10.1007/BF00755918
 Bibcode:
 1972GReGr...3...17T