Exploring New Physics Frontiers Through Numerical Relativity.
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.
CENTRA, Departamento de Física, Instituto Superior Técnico, Universidade de Lisboa, Avenida Rovisco Pais 1, 1049 Lisboa, Portugal ; Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5 Canada.
Vitor
V
Cardoso
Dipartimento di Fisica, Università di Roma "La Sapienza" & Sezione INFN Roma1, P.A. Moro 5, 00185 Roma, Italy.
Leonardo
L
Gualtieri
Departamento de Física da Universidade de Aveiro and CIDMA, Campus de Santiago, 3810-183 Aveiro, Portugal.
Carlos
C
Herdeiro
DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA UK.
Ulrich
U
Sperhake
Alternative theories of gravity; Black holes; Extensions of the standard model; Extra dimensions; Gravitation; Numerical methods; Trans-Planckian scattering