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Holographic entanglement entropy of de Sitter braneworld
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Holographic entanglement entropy of de Sitter braneworld
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We study the holographic representation of the entanglement entropy, recently proposed by Ryu and Takayanagi, in a braneworld context. The holographic entanglement entropy of a de Sitter brane embedded in an anti-de Sitter (AdS) spacetime is evaluated using geometric quantities, and it is compared with two kinds of de Sitter entropy: a quarter of the area of the cosmological horizon on the brane and entropy calculated from the Euclidean path integral. We show that the three entropies coincide with each other in a certain limit. Remarkably, the entropy obtained from the Euclidean path integral is in precise agreement with the holographic entanglement entropy in all dimensions. We also comment on the case of a five-dimensional braneworld model with the Gauss-Bonnet term in the bulk.
Forward citations
Cited by 2 Pith papers
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For two-component FLRW universes built from an AdS black brane plus p-brane gas, holographic entanglement entropy scales as tau early and as tau^{4/3} (dark matter) or tau^2 (exotic matter) late, while volume complexi...
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