Horizons of Coalescing Black Holes on Eguchi-Hanson Space

TL;DR

This paper investigates the dynamics of coalescing black holes on Eguchi-Hanson space using numerical methods, revealing how spacetime topology influences black hole formation and horizon properties.

Contribution

It introduces a numerical analysis of black hole coalescence on Eguchi-Hanson space, highlighting differences from flat space solutions and implications for black hole production.

Findings

Black hole horizons are larger at formation on Eguchi-Hanson space.

Black hole production is easier on Eguchi-Hanson space than on flat space.

Spacetime topology affects black hole coalescence dynamics.

Abstract

Using the numerical method, we study dynamics of coalescing black holes on the Eguchi-Hanson base space. Effects of a difference in spacetime topology on the black hole dynamics is discussed. We analyze appearance and disappearance process of marginal surfaces. In our calculation, the area of a coverall black hole horizon at the creation time in the coalescing black holes solutions on Eguchi-Hanson space is larger than that in the five-dimensional Kastor-Traschen solutions. This fact suggests that the black hole production on the Eguchi-Hanson space is easier than that on the flat space.