Phase Structure of Quantum Improved Schwarzschild-(Anti)de Sitter Black Holes

We study the phase structure of quantum improved Schwarzschild-(A)dS black holes in asymptotically safe gravity. The quantum effect provides a repulsive force in the core region near singularity which stabilizes the thermodynamically unstable small black holes. It also creates a zero temperature state with finite size which could be a candidate for dark matter. Moreover, there is a new second order phase transition between small and large black holes for quantum improved Schwarzschild-Anti de Sitter black holes. We also discuss the black holes with different spatial topologies and find a notable duality.

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