Dynamical, Strong-Field Gravity

About This Grant

This research is focused on understanding the strong-field regime of Einstein's theory of general relativity. This encompasses both observational and theoretical aspects of general relativity. On the observational side, the main effort is numerical simulations of black hole collisions. This is important to support the nascent field of gravitational wave astronomy that began in 2015 with LIGO's detection of the collision of two black holes. This has given us the first direct observational window into the strong-field regime of general relativity, showing tentative scientific evidence that space and time do behave as predicted in these extreme environments. One avenue of work supported by this award will be to investigate hypothetical alternatives to black hole mergers as the source of LIGO's observations, to either rule out the alternatives and improve our confidence in general relativity or to discover novel physics. On the theoretical side, there are many outstanding questions about the nature of spacetime in extreme situations. Two such questions that will be addressed through this award are what happens to a black hole that is spun up to the maximum rotation rate allowed by Einstein's theory, and what happens when two black holes traveling at close to the speed of light collide. The pursuit of these projects will be carried out by graduate students as part of their thesis work. They will be trained to do leading scientific research, become knowledgeable in corresponding areas of physics, and be adept in high-performance computing and numerical methods. These skills are invaluable to many professions and would thus also benefit and further the development of those students who subsequently wish to pursue careers outside academia. A specific list of projects that will be pursued are (1) develop analytical and numerical methods to model so-called shell-like black hole mimickers, focusing on AdS (Anti de-Sitter) black shells as a concrete example, (2) numerically study the ultrarelativistic collision problem using both black holes and photon packets as the objects being collided, (3) numerically study the non-linear dynamics of perturbed near extremal black holes, beginning with the simpler case of charged scalar field perturbations of Reissner-Nordstrom black holes, before moving onto the more relevant gravitational wave perturbations of Kerr black holes, and (4) work on the following set of miscellaneous projects: the nonlinear dynamics of 5-dimensional black strings, the foundations of relativistic dissipative hydrodynamics, the interior structure of black holes, non-singular bouncing cosmologies, and gravitational collapse at the threshold of black hole formation. This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.