Shear-free perfect fluids in general relativity. I. Petrov type N Weyl tensor

Journal Article · Sat Aug 01 00:00:00 EDT 1987 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527446· OSTI ID:6489969

Carminati, J

Petrov type N, shear-free, perfect fluid solutions of the Einstein field equations are investigated. It is shown that if the fluid pressure p and energy density w are related by a barotropic equation of state p = p(w) satisfying w+pX0, and if the Weyl tensor is of Petrov type N then the fluid's volume expansion is zero but the vorticity is necessarily nonzero. The differential equation determining p as a function of w is given. For this class of solutions the fluid's vorticity vector is orthogonal to the acceleration.

• Research Organization: Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada
• OSTI ID: 6489969
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 28:8; 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
COSMOLOGICAL MODELS
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
EQUATIONS
EQUATIONS OF STATE
FIELD EQUATIONS
FIELD THEORIES
FLUID FLOW
FLUIDS
GENERAL RELATIVITY THEORY
IDEAL FLOW
MATHEMATICAL MODELS