Auto-localization in de-Sitter space

TL;DR

This paper explores how gravity in de-Sitter space leads to localized gravitons, enabling a recursion relation for entropy and insights into entropy accessibility for observers on domain walls, with implications for dS holography.

Contribution

It introduces a method to derive a recursion relation for dS entropy and analyzes entropy accessibility for observers on domain walls in de-Sitter space.

Findings

Localized gravitons exist on dS_{n-1}

Recursion relation for dS entropy derived

Fraction of entropy accessible by observers calculated

Abstract

We point out that gravity on dS_n gives rise to a localized graviton on dS_{n-1}. This way one can derive a recursion relation for the entropy of dS spaces, which might have interesting implications for dS holography. In the same spirit we study domain walls interpolating between dS spaces with different cosmological constant. Our observation gives an easy way to calculate what fraction of the total entropy can be accessed by an observer stuck on the bubble wall.