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arXiv · 2504.15910

Consistency between Bulk and Boundary Causalities in Asymptotically Anti-de Sitter Spacetimes

Lei Fu·Keisuke Izumi·Daisuke Yoshida
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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.

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Lei Fu, Keisuke Izumi, Daisuke Yoshida. 2025-04-22. Consistency between Bulk and Boundary Causalities in Asymptotically Anti-de Sitter Spacetimes. https://doi.org/10.1007/jhep10(2025)184

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