Nonsingular Reissner-Nordström Anti-de Sitter Black Hole

We aim to construct a model of dilaton gravity in 1+1 spacetime dimensions for a nonsingular Reissner-Nordstrom (RNS) anti-de-Sitter (AdS) black hole. To construct a nonsingular black hole in 2D dilaton gravity, we start with the traditional RNS AdS spacetime solution. We use the maximal Limiting Curvature Hypothesis (LCH) and the minimal curvature conjecture (MCC) to eliminate the singularity. By limiting the curvature at both extrema, i.e., bound curvatures at both UV and IR scales, we obtain a new static geodesically complete spacetime in two-dimensional dilaton gravity. We find the exact solution corresponding to a nonsingular RNS anti-de Sitter (AdS) black hole.

We use this solution to find the curvature tensor R and investigate the evaporation process of the nonsingular RNS AdS black hole.

Keywords: Black Hole Thermodynamics; 2D gravity; anti-de Sitter black holes; Quantum Gravity.