# The Geometric Analysis and Gravitation Division

Research in gravitation requires close collaboration between physicists and mathematicians. In the “Geometric Analysis and Gravitation” division physical models and mathematical methods relevant to this field are investigated, with emphasis on Einstein’s general relativity theory.

Einstein’s theory is based on differential geometry, its laws are formulated as partial differential equations. In-depth research in these areas is carried out to study Einstein’s gravitational field equations and its implications for phenomena such as black holes, gravitational waves or the Big Bang singularity. Mathematics establishes the consistency of physical models and provides hints for numerical simulations of observable processes, in particular in relation to gravitational-wave detector measurements.