Black holes in the brane world:Time symmetric initial data

TL;DR

This paper numerically constructs initial data for black holes in the Randall-Sundrum brane world model, revealing a cigar-shaped apparent horizon in five-dimensional spacetime, which enhances understanding of black hole geometry in higher dimensions.

Contribution

It introduces a numerical method to construct time-symmetric initial data for black holes in the brane world, demonstrating their shape in five dimensions.

Findings

Apparent horizon is cigar-shaped in 5D spacetime.

Black holes are spherical on the brane but elongated in the bulk.

Abstract

We numerically construct time-symmetric initial data sets of a black hole in the Randall-Sundrum brane world model, assuming that the black hole is spherical on the brane. We find that the apparent horizon is cigar-shaped in the 5D spacetime.