Interior Kerr solutions with the Newman-Janis algorithm starting with static physically reasonable space-times
General Relativity and Quantum Cosmology
2010-11-11 v2 High Energy Physics - Theory
Abstract
We present a simple approach for obtaining Kerr interior solutions with the help of the Newman-Janis algorithm (NJA) starting with static space-times describing physically sensible interior Schwarzschild solutions. In this context, the Darmois-Israel (DI) junction conditions are analyzed. Starting from the incompressible Schwarzschild solution, a class of Kerr interior solutions is presented, together with a discussion of the slowly rotating limit. The energy conditions are discussed for the solutions so obtained. Finally, the NJA algorithm is applied to the static, anisotropic, conformally flat solutions found by Stewart leading to interior Kerr solutions with oblate spheroidal boundary surfaces.
Cite
@article{arxiv.gr-qc/0603036,
title = {Interior Kerr solutions with the Newman-Janis algorithm starting with static physically reasonable space-times},
author = {Stefano Viaggiu},
journal= {arXiv preprint arXiv:gr-qc/0603036},
year = {2010}
}
Comments
15 pages, version published in IJMPD