Hairy extension of the Bertotti-Robinson spacetime in the Einstein-Maxwell-scalar theory is a black hole in closed spatial geometries

Abstract

In analogy with the Einstein-Maxwell-Dilaton black hole which is a hairy extension of the Reissner-Nordstrom black hole, we introduce a hairy extension for the Bertotti-Robinson spacetime in the context of the Einstein-Maxwell-scalar theory. The new spacetime is a closed S (3) black hole powered by a pure magnetic field. The energy-momentum tensor is an anisotropic fluid-like form such that p(r)/rho and p(perpendicular to)/rho are u (the radial coordinate)-dependent and at the horizon becomes -1/3 1/3