Physics
Scientific paper
Oct 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979ncimb..53..209n&link_type=abstract
Nuovo Cimento B, Serie 11, vol. 53 B, Oct. 11, 1979, p. 209-232.
Physics
6
Einstein Equations, Lie Groups, Maxwell Equation, Riemann Manifold, Space-Time Functions, Electromagnetic Fields, Field Theory (Physics), Gravitational Fields, Relativity, Tensor Analysis
Scientific paper
This paper further investigates and interprets the structure of Einstein-Maxwell space-times in terms of the infinitesimal holonomy groups (IHG) of the C-infinity Riemannian connection. In particular, this investigation provides a fundamental physical classification of Einstein-Maxwell space-times in terms of the IHG group structure of the Riemann curvature tensor. It will be shown that the Maxwell fields F (mu lambda) and asterisk F (mu lambda) of a given Einstein-Maxwell space-time define a representation of a sub-algebra of the Lie algebra of the IHG. The main results of this paper are stated in the form of two theorems and a corollary. Also the results obtained here indicate that physical insight could be gained by studying more general gage fields in terms of the IHG of the relevant Einstein-Yang-Mills space-times.
Davis William R.
Norris Larry K.
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