Quadratic Palatini Gravity and Stable Black Hole Remnants

摘要: We present a four-dimensional Planck-scale corrected quadratic extension of General Relativity (GR) where no priori relation between metric and connection is imposed (Palatini formalism). Static spherically symmetric electrovacuum solutions are obtained in exact analytical form. The macroscopic properties these excellent agreement with GR, though the region around central singularity modified. In fact, generically replaced by wormhole supported electric field, which provides non-trivial topology to space-time. Moreover, for certain charge-to-mass ratio geometry completely regular everywhere. For such solutions, horizon disappears microscopic regime below critical number charges (\(N<17\)), yielding set massive objects that could be naturally identified as black hole remnants.