Two Boosted Black Holes in Asymptotically de Sitter Space-Time - Relation between Mass and Apparent Horizon Formation -

TL;DR

This paper investigates the conditions under which an apparent horizon forms around two boosted black holes in asymptotically de Sitter space-time, revealing a critical mass threshold that prevents horizon formation.

Contribution

It introduces a relation between the conserved Abbott-Deser mass and apparent horizon formation for boosted black holes in de Sitter space.

Findings

Apparent horizon not formed if AD mass exceeds a critical value.

Large AD mass prevents black hole horizon formation despite inward momentum.

Discusses the physical meaning of AD mass via Weyl tensor analysis.

Abstract

We study the apparent horizon for two boosted black holes in the asymptotically de Sitter space-time by solving the initial data on a space with punctures. We show that the apparent horizon enclosing both black holes is not formed if the conserved mass of the system (Abbott-Deser mass) is larger than a critical mass. The black hole with too large AD mass therefore cannot be formed in the asymptotically de Sitter space-time even though each black hole has any inward momentum. We also discuss the dynamical meaning of AD mass by examining the electric part of the Weyl tensor (the tidal force) for various initial data.