Entanglement entropy, horizons and holography
arXiv:1904.13119 · doi:10.1016/j.physletb.2019.07.019
Abstract
We calculate the entanglement entropy in spaces with horizons, such as Rindler or de Sitter space, using holography. We employ appropriate parametrizations of AdS space in order to obtain a Rindler or static de Sitter boundary metric. The holographic entanglement entropy for the regions enclosed by the horizons can be identified with the standard thermal entropy of these spaces. For this to hold, we define the effective Newton's constant appropriately and account for the way the AdS space is covered by the parametrizations.
arXiv comment7 pages, 2 figures, discussion extended to include Gauss-Bonnet gravity in the bulk, references added, version to appear in Physics Letters B
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- Localized thermal states and negative energy