In the summer 2011, an exciting workshop took place in the beautiful island of Madeira, where a small number of top international experts in the fields of numerical relativity (NR) and various aspects of high energy physics (HEP), exchanged viewpoints and expertises in order to create synergies between these two communities. As an outcome of the fruitful round tables and discussions, a white paper was written.
This white paper, edited by the workshop organizers (Vitor Cardoso, Leonardo Gualtieri, Carlos Herdeiro and Ulrich Sperhake), is co-signed by all the active participants, and delivers a vision and a road map for the future of this interdisciplinary area.