# Entanglement entropy, horizons and holography

## TL;DR

This paper uses holography to compute entanglement entropy in spaces with horizons, linking it to thermal entropy and clarifying the role of parametrizations and effective Newton's constant.

## Contribution

It introduces a method to calculate holographic entanglement entropy in horizon spaces with specific parametrizations of AdS, connecting it to thermal entropy.

## Key findings

- Holographic entanglement entropy matches thermal entropy in horizon spaces.
- Proper parametrizations of AdS are crucial for accurate calculations.
- Effective Newton's constant must be defined appropriately for these computations.

## 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.