Slowly rotating fluid balls with linear equation of state
arXiv:gr-qc/0612080
Abstract
Slowly rotating perfect fluid balls with regular center and asymptotically flat exterior are considered to second order in the rotation parameter. The necessary condition for being Petrov type D is given for general perfect fluid matter. As a special case, fluids with a linear equation of state are considered. Using a power series expansion at the regular center, it is shown that the Petrov D condition is inconsistent with the linear equation of state assumption.
To make the 2002 conference paper more accessible, 12 pages