Exploring New Physics Frontiers Through Numerical Relativity
Vitor Cardoso, Leonardo Gualtieri, Carlos Herdeiro, Ulrich Sperhake
TL;DR
This paper reviews advanced numerical relativity techniques for solving Einstein's equations in complex spacetimes, enabling progress in understanding strong-field gravity across multiple physics domains.
Contribution
It provides a comprehensive overview of numerical methods for Einstein's equations, including benchmarking approaches, applied to diverse problems in physics and cosmology.
Findings
Progress in solving Einstein's equations numerically in complex scenarios
Benchmarking methods for validating numerical relativity results
Applications to high-energy physics, holography, and cosmology
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.
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