Published June 1988 | Version v1
Journal article Metadata-only

Conformally Ricci-flat perfect fluids. II

Creators

  • 1. Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1 Canada

Description

A review is given of the perfect fluid solutions which can be constructed by conformal transformations of nonflat vacuum solutions of Einstein's field equations. In addition a proof is given that (a) under physically reasonable restrictions all solutions for which the gradient of the scalar field is orthogonal to the fluid velocity and (b) all solutions sharing with the corresponding vacuum solution a symmetry group of dimension n≥2 are necessarily shear- or vorticity-free and hence are explicitly known

Additional details

Publishing Information

Journal Title
J. Math. Phys. (N.Y.)
Journal Volume
29
Journal Issue
6
Series
J. Math. Phys. (N.Y.).
Journal Page Range
1451-1454
ISSN
0022-2488
CODEN
JMAPA

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
19073665
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ANALYTICAL SOLUTION; CONFORMAL INVARIANCE; EINSTEIN FIELD EQUATIONS; GENERAL RELATIVITY THEORY; IDEAL FLOW; METRICS; RICCI TENSOR; SYMMETRY GROUPS
Descriptors DEC
EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; FLUID FLOW; INCOMPRESSIBLE FLOW; INVARIANCE PRINCIPLES; STEADY FLOW; TENSORS