Geometry of Black Hole Spacetimes
Book chapter, 2018
Among the many topics which are relevant to the uniqueness and stability problems are the theory of fields on black hole spacetimes, in particular for gravitational perturbations of the Kerr black hole and, more generally, the study of nonlinear field equations in the presence of trapping. The study of these questions requires tools from several different fields, including Lorentzian geometry, hyperbolic differential equations, and spin geometry, which are all relevant to the black hole stability problem.
Chalmers, Mathematical Sciences, Analysis and Probability Theory
Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
University of Edinburgh
Asymptotic Analysis in General Relativity