Close-slow analysis for head-on collision of two black holes in higher dimensions: Bowen-York initial data

TL;DR

This paper extends the Bowen-York initial data method to higher dimensions to analyze head-on black hole collisions, deriving an empirical formula for gravitational wave emission efficiency and discussing implications for collider physics.

Contribution

The study generalizes Bowen-York initial data to higher dimensions and applies the close-slow approximation to analyze gravitational waves from black hole collisions.

Findings

Derived an empirical formula for radiation efficiency in higher dimensions.

Found that radiation efficiency depends weakly on dimensionality.

Discussed potential implications for black hole formation in colliders.

Abstract

Scenarios of large extra dimensions have enhanced the importance for the study of black holes in higher dimensions. In this paper, we analyze an axisymmetric system of two black holes. Specifically, the Bowen-York method is generalized for higher dimensions in order to calculate the initial data for head-on collision of two equal-mass black holes. Then, the initial data are evolved adopting the close-slow approximation to study gravitational waves emitted during the collision. We derive an empirical formula for radiation efficiency, which depends weakly on the dimensionality. Possible implications of our results for the black hole formation in particle colliders are discussed.