Shear-free perfect fluids with a barotropic equation of state in general relativity: the present status

Abstract

The present status of the shear-free fluid conjecture in general relativity is discussed: a review is given of recent partial proofs, a new and complete proof is given for the case of a linear equation of state, including a non-zero cosmological constant, and a number of useful results are presented which might help in proving the conjecture for a general equation of state.

28 pages, minor corrections

References in corpus (1)

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

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