Recent Developments in the Penrose Conjecture
arXiv:2111.00106
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.
arXiv commentCorrected some errors and typos
References in corpus (11)
- Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
- Positivity of Quasilocal Mass
- Light Rays, Singularities, and All That
- The Penrose inequality and apparent horizons
- Plausible scenario for a generic violation of the weak cosmic censorship conjecture in asymptotically flat four dimensions
- Time flat surfaces and the monotonicity of the spacetime Hawking mass
- Bekenstein Bounds, Penrose Inequalities, and Black Hole Formation
- 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