Computer Science
Scientific paper
Dec 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002cqgra..19.6025p&link_type=abstract
Classical and Quantum Gravity, Volume 19, Issue 23, pp. 6025-6048 (2002).
Computer Science
Scientific paper
An explicit form of a certain class of type-N solutions of Einstein equations with pure radiation energy-momentum tensor is studied. In particular, the general solution of a constraint equation is found and the uniqueness of an example which already exists in the literature is established. The metric depends on two nonzero real parameters and a holomorphic function h of one complex variable. The congruence of principal null geodesics possesses nonvanishing twist and shear. If h is entire and nowhere vanishing, the solution is interpreted by means of geometrically distinguished set of freely falling observers as a gravitational wave accompanied by an incoherent electromagnetic radiation in an 'expanding' half-space of a three-space with the curvature's singularity at the boundary of the half-space.
Plebański Jerzy F.
Rózga Krzysztof
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