Numerical Relativity in 3+1 Dimensions
Bernd Bruegmann

TL;DR
This paper reviews recent progress in numerical relativity, focusing on simulating complex 3+1 dimensional spacetime scenarios like black hole mergers and gravitational waves.
Contribution
It provides an overview of current techniques and challenges in evolving general 3+1 dimensional data sets for Einstein's equations.
Findings
Advances in simulating binary black hole mergers
Progress in modeling strong gravitational waves
Development of shift conditions for neutron star binaries
Abstract
Numerical relativity is finally approaching a state where the evolution of rather general (3+1)-dimensional data sets can be computed in order to solve the Einstein equations. After a general introduction, three topics of current interest are briefly reviewed: binary black hole mergers, the evolution of strong gravitational waves, and shift conditions for neutron star binaries.
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