Exploring New Physics Frontiers Through Numerical Relativity
Vitor Cardoso
and
CENTRA, Departamento de Física, Instituto Superior Técnico, Universidade de Lisboa,
Avenida Rovisco Pais 1, 1049 Lisboa, Portugal
and
Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada
http://centra.ist.utl.pt/~vitor/
Avenida Rovisco Pais 1, 1049 Lisboa, Portugal
and
Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada
http://centra.ist.utl.pt/~vitor/Leonardo Gualtieri
and
Dipartimento di Fisica, Universitàdi Roma “La Sapienza”
& Sezione INFN Roma1, P.A. Moro 5, 00185, Roma, Italy
http://www.roma1.infn.it/teongrav/leonardo/homepage.html
& Sezione INFN Roma1, P.A. Moro 5, 00185, Roma, Italy
http://www.roma1.infn.it/teongrav/leonardo/homepage.htmlCarlos A. R. Herdeiro
and
Departamento de Física da Universidade de Aveiro and CIDMA,
Campus de Santiago, 3810-183 Aveiro, Portugal
http://gravitation.web.ua.pt/herdeiro
Campus de Santiago, 3810-183 Aveiro, Portugal
http://gravitation.web.ua.pt/herdeiroUlrich Sperhake
DAMTP, Centre for Mathematical Sciences, University of Cambridge,
Wilberforce Road, Cambridge, CB3 0WA, United Kingdom
http://www.damtp.cam.ac.uk/user/us248/
Wilberforce Road, Cambridge, CB3 0WA, United Kingdom
http://www.damtp.cam.ac.uk/user/us248/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.
Keywords: Gravitation, Numerical methods, Black holes, Extensions of the standard model, Alternative theories of gravity, Extra dimensions, Trans-Planckian scattering
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