English

Slowly rotating fluid balls with linear equation of state

General Relativity and Quantum Cosmology 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.gr-qc/0612080,
  title  = {Slowly rotating fluid balls with linear equation of state},
  author = {Gyula Fodor},
  journal= {arXiv preprint arXiv:gr-qc/0612080},
  year   = {2007}
}

Comments

To make the 2002 conference paper more accessible, 12 pages