Shearfree perfect fluids with solenoidal magnetic curvature and a gamma-law equation of state

Abstract

We show that shearfree perfect fluids obeying an equation of state p=(gamma -1) mu are non-rotating or non-expanding under the assumption that the spatial divergence of the magnetic part of the Weyl tensor is zero.

arXiv comment11 pages

References in corpus (6)

• Gravito-electromagnetism
• Cosmological models from a geometric point of view
• Theorems on shear-free perfect fluids with their Newtonian analogues
• Shear-free rotating inflation
• Nonperturbative gravito-magnetic fields
• Purely radiative perfect fluids

Cited by in corpus (8)

• Shear-free axially symmetric dissipative fluids
• Shear free solutions in General Relativity Theory
• Two Fluid Shear-Free Composites
• Shear-free perfect fluids with a solenoidal electric curvature
• Velocity and Heat Flow in a Composite Two Fluid System
• Shear-free perfect fluids with a barotropic equation of state in general relativity: the present status
• Rotating solenoidal perfect fluids of Petrov type D
• Reviving The Shear-Free Perfect Fluid Conjecture In General Relativity