Algebraically special space--times with nontwisting rays

Journal Article · Mon Dec 31 23:00:00 EST 1979 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.524341· OSTI ID:5628496

Ludwig, G

With the aid of the Newman--Penrose formalism and Penrose's conformal technique Einstein's gravitational field equations are first solved exactly as far as is possible for arbitrary sources. It is assumed, however, that space--time is algebraically special with hypersurface-orthogonal geodesic and shear-free rays. Special cases are considered. Next, the asymptotic behavior of the components of the metric tensor, the Weyl tensor, the Ricci tensor and the spin coefficients is determined in a suitable frame. Einstein--Maxwell space--times with the above properties are treated in some detail.

• Research Organization: Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
• OSTI ID: 5628496
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 21:1; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
ASYMPTOTIC SOLUTIONS
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
PARTICLE PROPERTIES
RICCI TENSOR
SPACE-TIME
SPIN
TENSORS