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@unpublished{Cheamsawat:2019,
author = {Cheamsawat, K and Gibbons, G and Wiseman, T},
publisher = {arXiv},
title = {A new energy upper bound for AdS black holes inspired by free field  theory},
url = {http://arxiv.org/abs/1906.07192v1},
year = {2019}
}

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TY  - UNPB
AB  - We consider the toroidally compactified planar AdS-Schwarzschild solution to4-dimensional gravity with negative cosmological constant. This has a flattorus conformal boundary metric. We show that if the spatial part of theboundary metric is deformed, keeping it static and the temperature and areafixed, then assuming a static bulk solution exists, its energy is less thanthat of the AdS-Schwarzschild solution. The proof is non-perturbative in themetric deformation. While we expect the same holds for the free energy forblack hole solutions we are so far are not able to prove it. In the context ofAdS-CFT this implies a 3-dimensional holographic CFT on a flat spatial toruswhose bulk dual is AdS-Schwarzschild has a greater energy than if the spatialgeometry is deformed in any way that preserves temperature and area. This workwas inspired by previous results in free field theory, where scalars andfermions in 3-dimensions have been shown to energetically disfavour flat space.
AU  - Cheamsawat,K
AU  - Gibbons,G
AU  - Wiseman,T
PB  - arXiv
PY  - 2019///
TI  - A new energy upper bound for AdS black holes inspired by free field  theory
UR  - http://arxiv.org/abs/1906.07192v1
UR  - https://arxiv.org/abs/1906.07192v1
UR  - http://hdl.handle.net/10044/1/75399
ER  -

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