Bridging the de Sitter and Schwarzschild black hole spacetimes by quantum bounces in loop quantum gravity

Recently, starting from the full theory of loop quantum gravity, Alesci, Bahrami and Pranzetti (ABP) derived an effective Hamiltonian with respect to coherent states peaked around spherically symmetric geometry, by including both the holonomy and inverse volume corrections, and showed that the classical singularity inside the Schwarzschild black hole is now replaced by a transition surface with a finite and non-zero radius. By taking various limits to several well-known loop quantum black hole (LQBH) solutions obtained by the so called polymerization process within the minisuperspace approach, and some detailed analyses of the parameter space of the ABP model, we argue that the global structure of a spherically symmetric LQBH spacetime should be the one in which the classical singularity is replaced by a transition surface that bridges two geodesically complete regions, one is asymptotically approaching to the Schwarzschild black hole spacetime, and the other is asymptotically to de Sitter space with a Planck-size cosmological constant.