Objectives:
Exact solutions to Einstein gravity play a crucial role in the understanding of many mathematical and physical aspects of the theory. In recent years, for several theoretical reasons, various modifications of Einstein gravity and their solutions have been studied. Due to the complexity of resulting field equations, very few exact solutions of such theories are known. We plan to construct and study exact solutions to Einstein gravity and various higher-order
gravities, such as quadratic gravity and Lovelock gravity, with a strong focus on black hole solutions, radiative spacetimes, and p-form fields. We also intend to study generic properties of certain classes of spacetimes, such as asymptotically flat spacetimes. When appropriate, we will benefit from employing mathematical methods, such as algebraic classification and a generalized GHP formalism developed in part by our team.
Objectives:
We propose to establish the Albert Einstein Center for Gravitation and Astrophysics, a Project of Excellence that will bring together four leading research teams from the Czech Republic to address outstanding problems in gravitation theory and its astrophysical applications. We will strive to answer questions such as: What are the properties of exact models of gravitational radiation? How will the most important physical processes near rotating black holes change in the presence of large-scale magnetic fields or external sources? What are the mathematical and physical aspects of higher-dimensional relativity, including its implications for other fields of physics? The applying teams have long-term expertise in the relevant areas of theoretical physics, astrophysics, and cosmology. They include internationally recognized leaders as well as young researchers working at the main universities and research institutes in the Czech Republic.