The Status of Black-Hole Binary Merger Simulations with Numerical Relativity

TL;DR

This paper reviews recent progress in numerical relativity simulations of black-hole binary mergers, highlighting methodological advances, astrophysical insights, and new analytical models that enhance understanding of merger dynamics and gravitational waveforms.

Contribution

It introduces a simple analytical model for Poynting flux in black-hole binaries and discusses recent theoretical and numerical advancements in merger dynamics and gravitational waveforms.

Findings

Analytical model aligns with numerical results on Poynting flux.

Recent simulations improve understanding of merger gravitational waveforms.

Advancements in numerical relativity enable detailed study of strong-field phenomena.

Abstract

The advent of long-term stability in numerical relativity has yielded a windfall of answers to long-standing questions regarding the dynamics of space-time, matter, and electromagnetic fields in the strong-field regime of black-hole binary mergers. In this review, we will briefly summarize the methodology currently applied to these problems, emphasizing the most recent advancements. We will discuss recent results of astrophysical relevance, and present some novel interpretation. Though we primarily present a review, we also present a simple analytical model for the time-dependent Poynting flux from two orbiting black holes immersed in a magnetic field, which compares favorably with recent numerical results. Finally, we will discuss recent advancements in our theoretical understanding of merger dynamics and gravitational waveforms that have resulted from interpreting the ever-growing body of numerical relativity results.