Colliding gravitational plane waves with noncollinear polarization. II

Journal Article · Tue Dec 01 04:00:00 EST 1987 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527698· OSTI ID:5914631

Ernst, F J; Garcia D, A; Hauser, I

A simple criterion for colliding gravitational plane waves is developed. This colliding wave condition is preserved by a new realization of the Geroch group augmented by a Kramer--Neugebauer involution. A three-parameter generalization of a two-parameter family of solutions with noncollinear polarization discovered recently by Ferrari, Ibanez, and Bruni is presented, and two additional solutions are derived that demonstrate that much larger families are likely to be constructed in the near future.

• Research Organization: Department of Mathematics, Clarkson University, Potsdam, New York 13676
• OSTI ID: 5914631
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 28:12; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
GRAVITATION
GRAVITATIONAL WAVES
GROUP THEORY
MATHEMATICS
METRICS
POLARIZATION
TRANSFORMATIONS
WAVE PROPAGATION