Numerical Relativity: Status and Prospects

TL;DR

This paper reviews recent advances in numerical relativity, highlighting progress in simulating black hole spacetimes and discussing future challenges and opportunities in the field.

Contribution

It provides a comprehensive overview of the current state, recent progress, and future prospects in numerical relativity, especially regarding black hole simulations.

Findings

Significant progress in simulating black hole spacetimes.

Simulations are approaching providing useful physical insights.

Open problems and future directions are identified.

Abstract

We are entering an era where the numerical construction of generic spacetimes is becoming a reality. The use of computer simulations, in principle, allows us to solve Einstein equations in their full generality and unravel important messages so far hidden in the theory. Despite the problems still found in present applications, significant progress is being achieved in a number of areas where simulations are on the verge of providing useful physical information. This article reviews recent progress made in the field, paying particular attention to black hole spacetimes and discuss open problems and prospects for the future.