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.

Cet article explore les excursions dans le temps et leurs implications.

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