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A new energy inequality in AdS
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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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Cited by 1 Pith paper
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Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles
A family of time-symmetric Kaluza-Klein bubble initial data exists with arbitrarily negative ADM energy for fixed bubble and circle sizes.
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