Entanglement entropy, horizons and holography

2019/04/30 by D. Giataganas, Dimitrios Giataganas, N. Tetradis · 1 citation
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Entropy (arrow of time) #Holography #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum entanglement #Quantum mechanics #Statistical physics #Theoretical physics #hep-th

paper · pdf · doi:10.1016/j.physletb.2019.07.019

7 pages, 2 figures, discussion extended to include Gauss-Bonnet gravity in the bulk, references added, version to appear in Physics Letters B

openalex publication_date 2019/07/11 · arxiv created 2019/07/13 · arxiv updated 2019/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study 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.

Citations

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