Consistency between Bulk and Boundary Causalities in Asymptotically Anti-de Sitter Spacetimes
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| Format: | Preprint |
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2025
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| _version_ | 1866912674617491456 |
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| author | Fu, Lei Izumi, Keisuke Yoshida, Daisuke |
| author_facet | Fu, Lei Izumi, Keisuke Yoshida, Daisuke |
| contents | 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--Nordström--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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_15910 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Consistency between Bulk and Boundary Causalities in Asymptotically Anti-de Sitter Spacetimes Fu, Lei Izumi, Keisuke Yoshida, Daisuke General Relativity and Quantum Cosmology High Energy Physics - Theory 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--Nordström--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. |
| title | Consistency between Bulk and Boundary Causalities in Asymptotically Anti-de Sitter Spacetimes |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.15910 |