Projection tensor formalism for stationary axisymmetric gravitational fields

Details Projection tensor formalism for stationary axisymmetric gravitational fields Projection tensor formalism for stationary axisymmetric gravitational fields

Dec 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978phrvd..18.4471k&link_type=abstract

Physical Review D - Particles and Fields, 3rd Series, vol. 18, Dec. 15, 1978, p. 4471-4479.

Physics

3

Field Theory (Physics), Formalism, Gravitational Fields, Space-Time Functions, Tensors, Canonical Forms, Electromagnetic Fields, Orthogonality, Riemann Manifold, Symmetry, Vacuum, Vector Spaces

Scientific paper

A two-dimensional projection tensor formalism for treating spacetimes with two commuting Killing vectors is presented and its use is illustrated by two examples - an alternative proof of a sufficient condition for such a spacetime to be orthogonally transitive and an application to the Rainich-Misner-Wheeler geometrization of the electromagnetic field to derive a result previously obtained by Michalski and Wainright. Finally, the admissible Petrov types are investigated and a proof concerning vacuum fields with two commuting orthogonally transitive Killing vectors is presented.

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