Numerical Relativity: An Overview of the Field and Some Recent Results in Black Hole Simulations

In this talk I will give a review of the field of numerical relativity. I will discuss the 3+1 split of spacetime and the basic equations that need to be solved. I will briefly discuss the problem of finding initial data and of choosing appropriate coordinate (gauge) conditions, concentrating particularly in the case of black hole spacetimes. I will also briefly discuss the recent spectacular breakthroughs in the simulation of binary black hole systems, and some of the more interesting and exciting physical results that have been obtained from those simulations.

Miguel Alcubierre, Universidad Nacional Autónoma de México, Mexico

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