Lecture Notes: Numerical Relativity in higher dimensional spacetimes

TL;DR

This paper reviews numerical relativity techniques used to study highly dynamical black hole phenomena in higher-dimensional spacetimes, advancing understanding of complex gravitational interactions beyond four dimensions.

Contribution

It provides a comprehensive summary of methods for simulating dynamical black holes in arbitrary dimensions, highlighting recent developments in higher-dimensional numerical relativity.

Findings

Summarizes key numerical techniques for higher-dimensional black hole simulations.

Discusses applications to black hole collisions in D-dimensional spacetimes.

Provides insights into high-curvature gravitational phenomena in extra dimensions.

Abstract

Black holes are among the most exciting phenomena predicted by General Relativity and play a key role in fundamental physics. Many interesting phenomena involve dynamical black hole configurations in the high curvature regime of gravity. In these lecture notes I will summarise the main numerical relativity techniques to explore highly dynamical phenomena, such as black hole collisions, in generic $D$-dimensional spacetimes.