Non-singular black holes and the Limiting Curvature Mechanism: A Hamiltonian perspective

Understand

We revisit the non-singular black hole solution in (extended) mimetic gravity with a limiting curvature from a Hamiltonian point of view.

• We introduce a parameterization of the phase space which allows us to describe fully the Hamiltonian structure of the theory.
• We write down the equations of motion that we solve in the regime deep inside the black hole, and we recover that the black hole has no singularity, due to the limiting curvature mechanism.
• Then, we study the relation between such black holes and effective polymer black holes which have been introduced in the context of loop quantum gravity.