Non-local (but also non-singular) physics at the last stages of gravitational collapse

Understand

We study the end stages of gravitational collapse of the thin shell of matter in ingoing Eddington-Finkelstein coordinates.

• We use the functional Schrodinger formalism to capture quantum effects in the near singularity limit.
• We find that that the equations of motion which govern the behavior of the collapsing shell near the classical singularity become strongly non-local.
• This reinforces previous arguments that quantum gravity in the strong field regime might be non-local.