Speaker
Description
The Einstein Field Equations are a set of non-linear partial differential equations that lie at the core of the theory of general relativity. Numerical relativity focuses on solving these equations using numerical methods and simulations. A major research topic in this area is the computation of gravitational waveforms generated by compact binaries at a spacetime region called future null infinity. This is a region in asymptotically flat spacetimes (spacetimes with zero cosmological constant) where outgoing null rays converge to and, ideally, we can place earth there in our simulations, since the practical use of these simulated waveforms is to compare them to the ones we get on earth coming from very distant astrophysical sources. In this project we will include future null infinity in our computational spacetime domain using a technique called hyperboloidal compactification and we will solve some toy models including (i) the hyperboloidal wave equation in Minkowski and Kerr spacetimes, (ii) non-linear wave models in Minkowski spacetime and (iii) linearized GR on hyperboloidal 3d slices.