Gravitational collapse disturbs the dS/CFT correspondence?

TL;DR

This paper investigates gravitational collapse in five-dimensional de Sitter spacetime and examines how it affects the existence of conformal boundaries crucial for the dS/CFT correspondence, through analysis of dust shells, black hole bounds, and horizons.

Contribution

It provides evidence supporting the persistence of conformal boundaries at future infinity despite gravitational collapse, reinforcing the applicability of the dS/CFT correspondence in dynamic scenarios.

Findings

Conformal boundaries exist at future timelike infinity during collapse.

Black hole area bounds are consistent with boundary existence.

Spindle-shaped matter distributions do not prevent boundary formation.

Abstract

We study the gravitational collapse in five-dimensional de Sitter (dS) spacetime and discuss the existence of the conformal boundaries at future timelike infinity from the perspective of the dS/CFT correspondence. We investigate the motion of a spherical dust shell and the black hole area bounds. The latter includes the analysis of the trapping horizon and the initial data with spindle-shaped matter distribution. In all above analyses we find the evidences that guarantee the existence of the conformal boundaries at future timelike infinity which are essential to apply the dS/CFT correspondence.