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arXiv · 1510.05798

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

Norbert Van den Bergh·Radu Slobodeanu
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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.

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Norbert Van den Bergh, Radu Slobodeanu. 2015-10-20. Shear-free perfect fluids with a barotropic equation of state in general relativity: the present status. https://doi.org/10.1088/0264-9381/33/8/085008

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