The Current Status of Binary Black Hole Simulations in Numerical Relativity
Ian Hinder

TL;DR
This paper reviews the recent advancements in numerical relativity for simulating binary black holes, highlighting code capabilities, physical insights gained, and methodological improvements since 2005 breakthroughs.
Contribution
It provides a comprehensive summary of the current state, progress, and technical developments in binary black hole simulations in numerical relativity.
Findings
Enhanced stability of simulations since 2005
New physical phenomena observed in binary black hole mergers
Improvements in numerical methods and analysis techniques
Abstract
Since the breakthroughs in 2005 which have led to long term stable solutions of the binary black hole problem in numerical relativity, much progress has been made. I present here a short summary of the state of the field, including the capabilities of numerical relativity codes, recent physical results obtained from simulations, and improvements to the methods used to evolve and analyse binary black hole spacetimes.
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