Numerical Relativity in Higher Dimensions

Abstract

We present an overview of recent developments in numerical relativity studies of higher dimensional spacetimes with a focus on time evolutions of black-hole systems. After a brief review of the numerical techniques employed for these studies, we summarize results grouped into the following three areas: (i) Numerical studies of fundamental properties of black holes, (ii) Applications of black-hole collisions to the modeling of Trans-Planckian scattering, (iii) Numerical studies of asymptotically anti-de Sitter spacetimes in the context of the gauge-gravity duality.