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arXiv · 2406.13068

A new energy inequality in AdS

Gary T. Horowitz·Diandian Wang·Xiaohua Ye
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Abstract

We study time symmetric initial data for asymptotically AdS spacetimes with conformal boundary containing a spatial circle. Such $d$-dimensional initial data sets can contain $(d-2)$-dimensional minimal surfaces if the circle is contractible. We compute the minimum energy of a large class of such initial data as a function of the area $A$ of this minimal surface. The statement $E \ge E_{min}(A)$ is analogous to the Penrose inequality which bounds the energy from below by a function of the area of a $(d-1)$-dimensional minimal surface.

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Gary T. Horowitz, Diandian Wang, Xiaohua Ye. 2024-06-18. A new energy inequality in AdS. https://arxiv.org/abs/2406.13068

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