Entropy of 2+1 dimensional de Sitter space in terms of brick wall method

TL;DR

This paper computes the entropy of a scalar field in 2+1 dimensional de Sitter space using the brick wall method, revealing a perimeter law for the entropy.

Contribution

It introduces a novel calculation of scalar field entropy in 3D de Sitter space employing the brick wall approach, deriving a perimeter law.

Findings

Entropy follows a perimeter law in 3D de Sitter space

Brick wall method effectively computes scalar field entropy in curved spacetime

Results support the holographic nature of de Sitter entropy

Abstract

We calculate the statistical entropy of a scalar field on the background of three-dimensional De Sitter space in terms of the brick wall method and finally derive the perimeter law of the entropy.