Recent Developments in the Penrose Conjecture

Abstract

We survey recent developments towards a proof of the Penrose conjecture and results on Penrose-type and other geometric inequalities for quasi-local masses in general relativity.

Corrected some errors and typos

References in corpus (4)

• The Penrose inequality on perturbations of the Schwarzschild exterior
• Approximate twistors and positive mass
• The Penrose inequality for perturbations of the Schwarzschild initial data
• New spinorial approach to mass inequalities for black holes in general relativity