Statistics – Computation
Scientific paper
Aug 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988cqgra...5.1073a&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 5, Aug. 1, 1988, p. 1073-1096. CNPq-supported research.
Statistics
Computation
5
Automorphisms, Computational Astrophysics, Einstein Equations, Maxwell Equation, Space-Time Functions, Electromagnetic Fields, Gravitational Waves, Linear Polarization, Plane Waves
Scientific paper
The time-dependent automorphism formalism is applied in the computer algebra system SHEEP to identify the subclasses of Einstein-Maxwell plane-wave solutions which admit Bianchi groups acting on spacelike hypersurfaces. Using the classification program CLASSI, the invariant characterizations of these metrics are obtained and the results used to generalize previous work by Siklos on spatially homogeneous vacuum plane-wave cosmologies. The invariant characterizations are described through a three-dimensional phase space which physically represents the amplitude and polarization of the plane wave and the electromagnetic field. A previous theorem on linearly polarized plane gravitational waves is also generalized.
Araujo Marcelo E.
Skea James E. F.
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