Holographic Evolution with Dynamical Boundary Gravity
Abstract
Holography has provided valuable insights into the time evolution of strongly coupled gauge theories in a fixed spacetime. However, this framework is insufficient if this spacetime is dynamical. We present a scheme to evolve a four-dimensional, strongly interacting gauge theory coupled to four-dimensional dynamical gravity in the semiclassical regime. As in previous work, we use holography to evolve the quantum gauge theory stress tensor, whereas the four-dimensional metric evolves according to Einstein's equations coupled to the expectation value of the stress tensor. The novelty of our approach is that both the boundary and the bulk spacetimes are constructed dynamically, one time step at a time. We focus on Friedmann-Lema\^itre-Robertson-Walker geometries and evolve far-from-equilibrium initial states that lead to asymptotically expanding, flat or collapsing Universes
Cite
@article{arxiv.2109.10355,
title = {Holographic Evolution with Dynamical Boundary Gravity},
author = {Christian Ecker and Wilke van der Schee and David Mateos and Jorge Casalderrey-Solana},
journal= {arXiv preprint arXiv:2109.10355},
year = {2022}
}
Comments
16 pages, 6 figures, numerical code available at http://wilkevanderschee.nl/public-codes. v2: matches published version