Mathematics Seminar: Introduction to Numerical Relativity
4:10pm Neill Hall 5W
Systems involving strongly curved spacetimes, especially the vicinities of compact objects (black holes and neutron stars), must be modeled using the general theory of relativity. Except in special, high-symmetry cases, this requires numerical simulation. The four-dimensional theory must be "split" into a three-dimensional system evolved through time; coordinate choices must be made and their effects separated from physically meaningful dynamics; physical singularities must be treated in a numerically stable way. If we can do this, we can simulate the merger of compact binary systems and make predictions about gravitational waves and gamma ray bursts.