Exploring New Physics Frontiers Through Numerical Relativity

Abstract

The demand to obtain answers to highly complex problems within strong-field gravity has been met with significant progress in the numerical solution of Einstein's equations - along with some spectacular results - in various setups. We review techniques for solving Einstein's equations in generic spacetimes, focusing on fully nonlinear evolutions but also on how to benchmark those results with perturbative approaches. The results address problems in high-energy physics, holography, mathematical physics, fundamental physics, astrophysics and cosmology.

156 pages, 21 figures. Published in Living Reviews in Relativity

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• Black holes, gravitational waves and fundamental physics: a roadmap
• The SXS Collaboration catalog of binary black hole simulations
• New theories of relativistic hydrodynamics in the LHC era
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