Shear-free perfect fluids with linear equation of state
arXiv:1301.5508 · doi:10.1088/0264-9381/31/12/125012
Abstract
We prove that shear-free perfect fluid solutions of Einstein's field equations must be either expansion-free or non-rotating (as conjectured by Treciokas and Ellis) for all linear equations of state except for six values of .
24 pages. Expanded Sections 1, 7 and 8; minor change in the end of Section 4; added references. Mathematica files available at http://unibuc.ro/prof/slobodeanu_r_a/resurse.php