Numerical simulations of Effective Field Theory motivated extensions to General Relativity in the non-linear regime.

With the goal of exploring and understanding departures from General Relativity a wide range of alternative theories have been proposed, some of whose predictions have been put under tests in different relevant regimes. However, most of these predictions have been obtained in the linearized regime, whilst only recently some effort has been put into obtaining predictions in the very important highly dynamic and non-linear regime, e.g. compact binary coalescence.

In this talk I will first present the formal and practical challenges that appear when performing numerical simulations in a particular Effective Field Theory motivated (higher derivatives) extension to General Relativity. Finally I will present the results from numerical simulations where the implementation of novel methods can help us get accurate predictions in the non-linear regime for this type of higher derivative theories of gravity.