A conformally invariant theory of gravitation and electromagnetism

Details A conformally invariant theory of gravitation and electromagnetism A conformally invariant theory of gravitation and electromagnetism

Jul 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cqgra...1..349m&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 1, July 11, 1984, p. 349-354.

Mathematics

Group Theory

7

Conformal Mapping, Electromagnetic Fields, Gauge Invariance, Gravitation Theory, Space-Time Functions, Unified Field Theory, Group Theory, Maxwell Equation, Topology, Variational Principles, Yang-Mills Theory

Scientific paper

A formalism for the mathematical description of conformal gravity and its dynamical evolution based on the local twistor geometry is presented. It is shown that the electromagnetic field can be naturally incorporated into this scheme by a modification of the local twistor parallel transport law. The dynamical equations (the Bach equations for gravity and the Maxwell equations for the electromagnetic field) are obtained by varying a single quantity - the modified twistor connection.

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