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The Holographic Entropy Cone in AdS-Vaidya Spacetimes

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arxiv 1905.00544 v1 pith:XL2F7TAX submitted 2019-05-02 hep-th gr-qcquant-ph

Reginald J. Caginalp This is my paper · ORCID
classification hep-thgr-qcquant-ph
keywords bulkinequalitiesconeentropyholographicboundarycasecondition
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abstract

We examine the five-region holographic entropy cone inequalities for the special case of the AdS$_3$-Vaidya metric for a variety of boundary configurations. This is done by numerically solving the geodesic equation in the bulk for various boundary configurations. In all the cases we examine, we find that all the inequalities are satisfied when the bulk satisfies the null energy condition, while the inequalities are all violated when the bulk spacetime violates the null energy condition. A proof of the five-region holographic entropy cone inequalities for the dynamical bulk case remains an open problem--our results provide evidence that these inequalities hold for dynamical bulk spacetimes.

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  1. Minimax surfaces and the holographic entropy cone

    hep-th 2025-02 conditional novelty 7.0 of 10

    Stable minimax surfaces are shown to be HRT surfaces, the entanglement wedge is the smallest minimax homology region, and a cooperating time-sheet configuration would prove the equality of RT and HRT entropy cones.

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