Black hole remnants in RG modified gravity?

Abstract

The idea of black hole remnants for RG modified Schwarzschild solution constructed in papers [hep-th/0002196; hep-th/0602159] depends essentially on the positiveness of a parameter that enters the running Newton constant. The positiveness of this parameter was established by comparing the large distance expansion of RG modified Schwarzschild solution with the Donoghue's original result about the one-loop correction to the Newtonian potential [gr-qc/9310024; gr-qc/9405057]. But since the appearance of paper [gr-qc/0207118] by Khriplovich and Kirilin it became widely appreciated that the sign of one-loop correction in Donoghue's original result is incorrect. This falsifies the argument for existence of black hole remnants in the framework of modified Schwarzschild solution construction suggested in the above papers. But most importantly the very construction of this modified Schwarzschild solution is challenged by the study of graviton radiative corrections to the Newtonian potential and running Newton constant [hep-th/0211071].