Slowly rotating fluid balls with linear equation of state

Details Slowly rotating fluid balls with linear equation of state Slowly rotating fluid balls with linear equation of state

2006-12-13

arxiv.org/abs/gr-qc/0612080v1

Relativity Today, Ed.: Z. Perjes and C. Hoenselaers, Akademiai Kiado, Budapest (2002)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To make the 2002 conference paper more accessible, 12 pages

Scientific paper

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.

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