Mathematics
Scientific paper
Nov 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987rspsa.414....1c&link_type=abstract
Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences (ISSN 0080-4630), vol. 414, no. 1846, Nov. 9,
Mathematics
28
Electromagnetic Fields, Gravitational Waves, Plane Waves, Polarization (Waves), Wave Interaction, Einstein Equations, Maxwell Equation, Singularity (Mathematics), Vacuum
Scientific paper
The coupling of colliding plane gravitational waves (which lead to the development of a horizon and a subsequent time-like singularity) with an electromagnetic field, a perfect fluid, and null dust is considered. If the polarizations of the colliding gravitational waves are not parallel, the coupling of gravitational waves with an electromagnetic field does not affect the development of the horizon or the time-like singularity. For the case of parallel polarizations, the space-like singularity is transformed into a horizon followed by a time-like singularity in the presence of an electromagnetic field. The perfect fluid is found to effect the developments of horizons and singularities in the same way, while null dust only allows the development of space-like singularities.
Chandrasekhar Subrahmanyan
Xanthopoulos Basilis C.
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