Generalizations of Classical Relativity Theorems

Explore generalizations of classical relativity theorems in this 53-minute conference talk by Eleni Kontou at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the Workshop on "Non-regular Spacetime Geometry" as Kontou examines the applicability of famous singularity theorems in semiclassical gravity. Learn about the limitations of pointwise energy conditions and discover how averaged versions can be used to bound energy density on causal geodesic segments. Understand the index form method as an alternative to the Raychaudhuri equation for implementing weakened energy conditions. Follow Kontou's application of this method to the Penrose singularity theorem and the Hawking area theorem, gaining insights into the progress made and challenges encountered in both cases.