TY - JOUR

T1 - Exploring New Physics Frontiers Through Numerical Relativity

AU - Cardoso, Vitor

AU - Gualtieri, Leonardo

AU - Herdeiro, Carlos

AU - Sperhake, Ulrich

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Gravitation

KW - Numerical methods

KW - Black holes

KW - Extensions of the standard model

KW - Alternative theories of gravity

KW - Extra dimensions

KW - Trans-Planckian scattering

KW - BRANS-DICKE THEORY

KW - INITIAL-VALUE-PROBLEM

KW - QUASI-NORMAL MODES

KW - BLACK-HOLE BINARIES

KW - HEAD-ON COLLISIONS

KW - GRAVITATIONAL-WAVE EMISSION

KW - MULTIDOMAIN SPECTRAL METHOD

KW - FINDING APPARENT HORIZONS

KW - ADAPTIVE MESH REFINEMENT

KW - PREFERRED-FRAME THEORIES

U2 - 10.1007/lrr-2015-1

DO - 10.1007/lrr-2015-1

M3 - Review

VL - 18

JO - Living Reviews in Relativity

JF - Living Reviews in Relativity

SN - 2367-3613

M1 - 1

ER -