A new energy inequality in AdS

2024/06/18 by Horowitz, Gary T., Wang, Diandian, Ye, Xiaohua
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2406.13068

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 ≥ 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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