A Generalized Momentum/Complexity Correspondence
High Energy Physics - Theory
2021-07-20 v2
Abstract
Holographic complexity, in the guise of the Complexity = Volume prescription, comes equipped with a natural correspondence between its rate of growth and the average infall momentum of matter in the bulk. This Momentum/Complexity correspondence can be related to an integrated version of the momentum constraint of general relativity. In this paper we propose a generalization, using the full Codazzi equations as a starting point, which successfully accounts for purely gravitational contributions to infall momentum. The proposed formula is explicitly checked in an exact pp-wave solution of the vacuum Einstein equations.
Cite
@article{arxiv.2012.02603,
title = {A Generalized Momentum/Complexity Correspondence},
author = {J. L. F. Barbon and J. Martin-Garcia and M. Sasieta},
journal= {arXiv preprint arXiv:2012.02603},
year = {2021}
}