1205.4113 (E. Kyriakopoulos)

Family Of Rotating Anisotropic Fluid Solutions which Match to Kerr's
Solution    [PDF]

E. Kyriakopoulos

We present a family of exact anisotropic fluid solutions, which satisfy all energy conditions for certain values of their parameters. The components of the energy-momentum tensor of the solutions and its eigenvalues are explicitly given. All members of the family have the ring singularity of Kerr's solution and most of them one more singularity. The solutions can be matched to the solution of Kerr on a closed surface, which for small values of a parameter approximates an oblate spheroid. The matching surface, which is a thin shell with positive surface density everywhere, is outside the outer infinite red shift surface of our solutions and also outsides the outer event horizon of the exterior solution of Kerr.

View original: http://arxiv.org/abs/1205.4113