Gravitational Theory

The study of conformal methods in Relativity evolves from the need to understand gravitational radiation and isolated systems within the theory of gravitation. In this concept, the ultimate destination, called future null-infinity, of gravitational waves is taken into consideration.

Another research area, where conformal methods come into play, is the accurate numerical calculation of general relativistic elliptic boundary value problems that arise in the description of axisymmetric and stationary matter configurations as well as in the context of the initial data problem for the dynamical evolution of binary systems. In the combination with multi-domain pseudo-spectral techniques, conformal methods permit the exact adaptation of the numerical domain boundaries to the physical boundaries, given by the situation under consideration (e.g. a yet to be determined shape of a neutron star).