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Impulsive gravitational waves generated by null particles in de Sitter and anti–de Sitter backgrounds

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posted on 11.05.2006 by J. Podolsky, Jerry Griffiths
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.

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  • Science

Department

  • Mathematical Sciences

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811761 bytes

Citation

PODOLSKY and GRIFFITHS, 1997. Impulsive gravitational waves generated by null particles in de Sitter and anti–de Sitter backgrounds. Physical Review D, 56(8), pp. 4756–4767

Publisher

© American Physical Society

Publication date

1997

Notes

This article has been published in the journal, Physical Review D [© American Physical Society]. It is also available at: http://link.aps.org/abstract/PRD/v56/p4756.

ISSN

0556-2821

Language

en

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