paper

Action Complexity for Semi-Classical Black Holes

arXiv:2001.06453 · doi:10.1007/JHEP07(2020)173

Abstract

We adapt the complexity as action prescription (CA) to a semi-classical model of two-dimensional dilaton gravity and determine the rate of increase of holographic complexity for an evaporating black hole. The results are consistent with our previous numerical results for semi-classical black hole complexity using a volume prescription (CV) in the same model, but the CA calculation is fully analytic and provides a non-trivial positive test for the holographic representation of the black hole interior.

21 pages of main text, 2 pages appendix, 12 figures