The hyperbolic Einstein-Rosen bridge

Abstract

Using systematically isothermal coordinates we show that there exist three different maximal extensions of the original Einstein-Rosen bridge. One of them, the hyperbolic Einstein-Rosen bridge, has two-dimensional sections diffeomorphic to the covering space of an hyperboloid of revolution, a singularity satisfying the cosmic censorship and a bridge generated by light-like geodesics that can be traversed by time-like curves. The collapse process that might produce this object is an interesting open problem.