Killing vectors in algebraically special space-times

Journal Article · Fri Jun 01 00:00:00 EDT 1984 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526390· OSTI ID:6734419

Torres del Castillo, G F

The form of the isometric, homothetic, and conformal Killing vectors for algebraically special metrics which admit a shear-free congruence of null geodesics is obtained by considering their complexification, using the existence of a congruence of null strings. The Killing equations are partially integrated and the reasons which permit this reduction are exhibited. In the case where the congruence of null strings has a vanishing expansion, the Killing equations are reduced to a single master equation.

• Research Organization: Departamento de Fisica Matematica, Instituto de Ciencias de la Universidad Autonoma de Puebla, Puebla, Mexico and Departamento de Fisica, Centro de Investigacion y de Estudios Avanzados del IPN, Apartado Postal 14-740, 07000, Mexico D. F., Mexico
• OSTI ID: 6734419
• Journal Information: J. Math. Phys. (N.Y.); (United States), Vol. 25:6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GENERAL RELATIVITY THEORY
EQUATIONS
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METRICS
TENSORS
WEYL UNIFIED THEORY
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UNIFIED-FIELD THEORIES
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation