Entanglement entropy in FRW backgrounds

Abstract

We use holography in order to study the entanglement entropy for a spherical entangling surface in a FRW background with an arbitrary time dependence of the scale factor. The calculation is done in various dimensions, allowing for nonzero spatial curvature. The entanglement entropy of a CFT at nonzero temperature in this background is also considered. Our approach is based on coordinate transformations that relate the extremization problem to the one for a static background, with a careful determination of the UV cutoff. We demonstrate the agreement with the expected form of the entanglement entropy and with various known results in specific cases. In four dimensions, apart from the cutoff-dependent terms, we compute and discuss the finite term related to the expansion rate.

References in corpus (25)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• The Black Hole in Three Dimensional Space Time
• Entropy and Area
• Geometry of the 2+1 Black Hole
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Lecture Notes on Holographic Renormalization
• Dark Matter Self-interactions and Small Scale Structure
• Holographic Entanglement Entropy: An Overview
• Entanglement entropy of black holes
• Universality of Entropy Scaling in 1D Gap-less Models
• Entanglement entropy, conformal invariance and extrinsic geometry
• Holographic Particle Detection
• Entanglement entropy for the n-sphere
• Bounding wide composite vector resonances at the LHC
• Holographic models of de Sitter QFTs
• Cosmology from an AdS Schwarzschild black hole via holography
• Entanglement entropy in curved spacetimes with event horizons
• Entanglement Entropy of de Sitter Space α-Vacua
• AdS/dS CFT Correspondence
• The Thermal Bath of de Sitter from Holography
• The BTZ black hole with a time-dependent boundary
• Entanglement entropy, horizons and holography
• Corrections to de Sitter entropy through holography

Cited by in corpus (11)

• Small Schwarzschild de Sitter black holes, quantum extremal surfaces and islands
• Page Curve of Effective Hawking Radiation
• Entanglement and Expansion
• Cosmologies, singularities and quantum extremal surfaces
• Entanglement in Cosmology
• Holographic time-dependent entanglement entropy in $p$-brane gas geometries
• Entanglement entropy in a four-dimensional cosmological background
• Spinodal Gravitational Waves
• Holographic entanglement entropy and complexity for the cosmological braneworld model
• Massive holographic QFTs in de Sitter
• Entanglement Entropy and Complexity of Multicomponent Universe from Holography