Consistency between Bulk and Boundary Causalities in Asymptotically Anti-de Sitter Spacetimes
General Relativity and Quantum Cosmology
2025-10-30 v2 High Energy Physics - Theory
Abstract
We investigate the consistency between bulk and boundary causalities in static, spherically symmetric, asymptotically anti-de Sitter (AdS) spacetimes. We derive a general formula that provides sufficient conditions for time advance, where bulk propagation arrives earlier than any boundary propagation. As an application, we show that in Reissner--Nordstr\"{o}m--anti de Sitter spacetime, no geodesic satisfies the sufficient conditions for time advance even in the super-extremal case. Furthermore, we demonstrate that the Einstein--Euler--Heisenberg theory exhibits time advance when one or a linear combination of the coupling constants is positive and below an upper bound determined by the AdS length scale.
Keywords
Cite
@article{arxiv.2504.15910,
title = {Consistency between Bulk and Boundary Causalities in Asymptotically Anti-de Sitter Spacetimes},
author = {Lei Fu and Keisuke Izumi and Daisuke Yoshida},
journal= {arXiv preprint arXiv:2504.15910},
year = {2025}
}