Spinning loop black holes

Abstract

In this paper we construct four Kerr-like spacetimes starting from the loop\nblack hole Schwarzschild solutions (LBH) and applying the Newman-Janis\ntransformation. In previous papers the Schwarzschild LBH was obtained replacing\nthe Ashtekar connection with holonomies on a particular graph in a\nminisuperspace approximation which describes the black hole interior. Starting\nfrom this solution, we use a Newman-Janis transformation and we specialize to\ntwo different and natural complexifications inspired from the complexifications\nof the Schwarzschild and Reissner-Nordstrom metrics. We show explicitly that\nthe space-times obtained in this way are singularity free and thus there are no\nnaked singularities. We show that the transformation move, if any, the\ncausality violating regions of the Kerr metric far from r=0. We study the\nspace-time structure with particular attention to the horizons shape. We\nconclude the paper with a discussion on a regular Reissner-Nordstrom black hole\nderived from the Schwarzschild LBH and then applying again the Newmann-Janis\ntransformation.\n