Mathematics – Logic
Scientific paper
Oct 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997phrvd..56.4756p&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 56, Issue 8, 15 October 1997, pp.4756-4767
Mathematics
Logic
23
Exact Solutions, Wave Propagation And Interactions
Scientific paper
By boosting the metric of the Schwarzschild-de Sitter and Schwarzschild-anti-de Sitter space-times in the ultrarelativistic limit as the mass parameter vanishes, impulsive gravitational waves are obtained in backgrounds with a nonzero cosmological constant. We determine the geometry of these impulsive wave surfaces using various coordinate charts. In the de Sitter background they are spheres containing two null particles located at the poles. In the anti-de Sitter background they are hyperboloidal surfaces of constant negative curvature containing a single null particle on the axis of symmetry. The global structure and conformal diagrams for the complete manifolds are also determined.
Griffiths Jerry B.
Podolsky Jiri
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