Einstein--Weyl space-times with geodesic and shear-free neutrino rays: asymptotic behaviour

Journal Article · Sun Feb 15 00:00:00 EST 1987 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(87)90080-7· OSTI ID:6750185

Kolassis, C A; Santos, N O

We consider a neutrino field with geodesic and shear-free rays, in interaction with a gravitational field according to the Einstein--Weyl field equations. Furthermore we suppose that there exists a Killing vector r/sup ..mu../ whose magnitude is almost everywhere bounded at the future and past endpoints of the neutrino rays. The implications of the asymptotic behavior of r/sup ..mu../ on the structure of space-time are investigated and a useful set of reduced equations is obtained. It is found that under these hypothes the space-time cannot be asymptotically flat if the neutrino field is nonvanishing. All the Demianski--Kerr--NUT-like space-times as well as the space-times which admit a covariantly constant null vector are explicity obtained. copyright 1987 Academic Press, Inc.

• Research Organization: Institut Henri Poincare, Laboratoire de Physique Theorique, 11, rue Pierre et Marie Curie, 75231 Paris Cedex 05, France
• OSTI ID: 6750185
• Journal Information: Ann. Phys. (N.Y.); (United States), Vol. 174:1
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
NEUTRINOS
GRAVITATIONAL INTERACTIONS
WEYL UNIFIED THEORY
SPACE-TIME
ASYMPTOTIC SOLUTIONS
EINSTEIN FIELD EQUATIONS
ENERGY-MOMENTUM TENSOR
GEODESICS
BASIC INTERACTIONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD EQUATIONS
FIELD THEORIES
INTERACTIONS
LEPTONS
MASSLESS PARTICLES
TENSORS
UNIFIED-FIELD THEORIES
645400* - High Energy Physics- Field Theory