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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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Details
1 Universidade de Lisboa, CENTRA, Departamento de Física, Instituto Superior Técnico, Lisboa, Portugal (GRID:grid.9983.b) (ISNI:0000000121814263); Perimeter Institute for Theoretical Physics, Waterloo, Canada (GRID:grid.420198.6) (ISNI:0000000086580851)
2 Università di Roma “La Sapienza” & Sezione INFN Roma1, Dipartimento di Fisica, Roma, Italy (GRID:grid.7841.a)
3 Departamento de Física da Universidade de Aveiro and CIDMA, Aveiro, Portugal (GRID:grid.7311.4) (ISNI:0000000123236065)
4 University of Cambridge, DAMTP, Centre for Mathematical Sciences, Cambridge, UK (GRID:grid.5335.0) (ISNI:0000000121885934)