Mathematics
Scientific paper
Feb 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986rspsa.403..189c&link_type=abstract
Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences (ISSN 0080-4630), vol. 403, no. 1825, Feb. 8,
Mathematics
24
Cosmic Dust, Gravitational Waves, Ideal Fluids, Pulsed Radiation, Space-Time Functions, Wave Scattering, Gauge Theory, Null Zones, Singularity (Mathematics)
Scientific paper
The problem of colliding impulsive gravitational waves is considered when the region of space-time, after the instant of collision, is filled with a mixture of null dusts moving in opposite directions. The extension of the resulting space-time, to regions before the instant of collision, shows that null dust follows the leading edges of the impulsive waves, and, further, that one can arrange that the space-time in these regions is identical with what prevails when a perfect fluid with epsilon = p fills the region after the instant of collision. This ambiguity in the space-time, after the instant of collision, must be traced to an inherent ambiguity in the nature of null dust and its relation with a perfect fluid with epsilon = p.
Chandrasekhar Subrahmanyan
Xanthopoulos Basilis C.
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