Static-fluid black holes

We investigate black holes formed by static perfect fluid with p=-ρ/3. These represent the black holes in S3 and H3 spatial geometries. There are three classes of black-hole solutions, two S3 types and one H3 type. The interesting solution is the S3 type one, which possesses two singularities. One is at the north pole behind the horizon, and the other is naked at the south pole. The observers, however, are free from falling to the naked singularity. There are also nonstatic cosmological solutions in S3 and H3 and a singular static solution in H3.