Physics
Scientific paper
Nov 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17.1081w&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 17, Nov. 1985, p. 1081-1107. SNSF-supported research.
Physics
13
Cartan Space, Field Theory (Physics), Gravitation Theory, Gravitational Fields, Riemann Manifold, Calculus, Duality Theorem, Lorentz Transformations, Relativity, Space-Time Functions
Scientific paper
The exterior calculus is used, together with some decomposition techniques within this formalism, in order to make the generally very complex structure of the U sub 4-field equations of gravity more transparent. As a result of this treatment, some of the equations acquire a comparatively simple form which may be given in several equivalent versions according to various requirements. Attention is also given to models in various dimensions, giving classes of solutions under certain assumptions.
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