Fluid black holes with electric field

Abstract

We investigate the gravitational field of static perfect-fluid in the presence of electric field. We adopt the equation of state p(r)=-rho (r)/3 for the fluid in order to consider the closed (S_3) or the open (H_3) background spatial topology. Depending on the scales of the mass, spatial-curvature and charge parameters (K, R_0, Q), there are several types of solutions in S_3 and H_3 classes. Out of them, the most interesting solution is the Reisner–Norström type of black hole. Due to the electric field, there are two horizons in the geometry. There exists a curvature singularity inside the inner horizon as usual. In addition, there exists a naked singularity at the antipodal point in S_3 outside the outer horizon due to the fluid. Both of the singularities can be accessed only by radial null rays.