Quantum Transfiguration of Kruskal Black Holes

We present a new effective description of macroscopic Kruskal black holes that incorporates corrections due to quantum geometry effects of loop quantum gravity. It encompasses both the “interior” region that contains classical singularities and the “exterior” asymptotic region. Singularities are naturally resolved by the quantum geometry effects of loop quantum gravity, and the resulting quantum extension of the full Kruskal space-time is free of all the known limitations of previous investigations of the Schwarzschild interior. We compare and contrast our results with these investigations and also with the expectations based on the $\mathrm{AdS}/\mathrm{CFT}$ duality.

Figure 1

The Penrose diagram of the extended Kruskal space-time. The central diamond $B\cup W$ is the interior, containing the trapped region $B$ and an antitrapped region $W$, separated by the transition surface $\mathcal{T}$ that replaces the classical singularity. I, II, III, and IV are asymptotic regions and the arrows represent the translational Killing vector $X^a{\partial }_a\equiv \partial /\partial x$.