Quantum evolution of black hole initial data sets: Foundations

Understand

We construct a formalism for evolving spherically symmetric black hole initial data sets within a canonical approach to quantum gravity.

• This problem can be formulated precisely in quantum reduced loop gravity, a framework which has been successfully applied to give a full theory derivation of loop quantum cosmology.
• We extend this setting by implementing a particular choice of partial gauge which is then used to select a kinematical Hilbert space where the symmetry reduction is imposed through semiclassical states.
• The main result of this investigation is an effective Hamiltonian that can be used to solve for quantum black hole geometries by evolving classical black hole initial data sets.