Classical geometrodynamics revisited

Details Classical geometrodynamics revisited Classical geometrodynamics revisited

Jul 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ncimb..46..167c&link_type=abstract

Nuovo Cimento, Sezione B, vol. 46 B, July 11, 1978, p. 167-178. Research supported by the Consiglio Nazionale delle Ricerche.

Mathematics

Complex Variables

1

Electromagnetism, Gravitation Theory, Space-Time Functions, Vector Analysis, Complex Variables, Einstein Equations, Maxwell Equation

Scientific paper

Classical geometrodynamics, the 'already unified' theory of electromagnetism and gravitation, is rewritten in the complex bivector formalism. The null and nonnull electromagnetic-field cases are treated. It is found that in both cases, a one-form constructed naturally from the geometry governs the theory. The vanishing of its exterior derivative must be included in the necessary and sufficient conditions for a metric to be a solution of the source-free Einstein-Maxwell equations.

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