Class of shear-free perfect fluids in general relativity. I

Journal Article · Tue Jan 31 23:00:00 EST 1984 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526156· OSTI ID:5168683

White, A J; Collins, C B

It has been conjectured that shear-free perfect fluids in general relativity, with an equation of state p = p(..mu..) and satisfying ..mu..+pnot =0, necessarily have either zero expansion or zero vorticity. We prove that this result holds in the restricted case when the fluid's vorticity and acceleration are parallel. Specifically, we prove that if the vorticity is nonzero, the fluid's volume expansion must vanish.

• Research Organization: Department of Applied Mathematics, University of Waterloo, Ontario, N2L 3G1, Canada
• OSTI ID: 5168683
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 25:2; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCELERATION
EQUATIONS
EQUATIONS OF STATE
EXPANSION
FIELD THEORIES
FLUIDS
GENERAL RELATIVITY THEORY
SHEAR
VORTICES