This National Science Foundation (NSF) Project Grant award, with the Federal Grant Program ID 47.049 "Mathematical and Physical Sciences" (CFDA 47.049), is providing $604,189.00 to The Trustees of Princeton University Office of Research and Project Administration to conduct research focused on the mathematics of gravitational collapse.
The project seeks to address fundamental open questions in the physics of gravitational collapse, including the formation and stability of extreme black holes and the structure of spacetime singularities. Key objectives include probing the extremal black hole formation threshold, analyzing the nonlinear stability of subextremal black holes, and investigating the presence and stability of strong, spacelike portions of the singular boundary of black holes arising in gravitational collapse without symmetry. The project also aims to prove stability and instability results of vacuum naked singularities to further explore the problem of critical collapse. This research seeks to contribute to the venerable tradition of rigorous mathematics informing our understanding of the physical world.
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