Dynamics and entanglement in spherically symmetric quantum gravity

The gravity-scalar field system in spherical symmetry provides a natural setting for exploring gravitational collapse and its aftermath in quantum gravity. In a canonical approach, we give constructions of the Hamiltonian operator, and of semiclassical states peaked on constraint-free data. Such states provide explicit examples of physical states. We also show that matter-gravity entanglement is an inherent feature of physical states, whether or not there is a black hole.

Figure 1

Expansion of the outgoing null geodesic with (solid line) and without (dashed line) trapped surfaces on the initial hypersurface. The solid line corresponds to $a=1$, $C=2$ and the dashed line to $a=1$, $C=6$.