A counterexample to a recent version of the Penrose conjecture

2009/11/30 by Alberto Carrasco, Marc Mars · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Axial symmetry #Black Holes and Theoretical Physics #Conjecture #Counterexample #Geometric Analysis and Curvature Flows #Kruskal's algorithm #Omega #gr-qc #math.DG

paper · pdf · doi:10.1088/0264-9381/27/6/062001

12 pages. Appendix added with technical details. To appear in Classical and Quantum Gravity

arxiv created 2010/02/24 · openalex publication_date 2010/03/02 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

By considering suitable axially symmetric slices on the Kruskal spacetime, we construct a counterexample to a recent version of the Penrose inequality in terms of so-called generalized apparent horizons.

Citations

• Riemannian Geometry
• Present status of the Penrose inequality
• Proof of the positive mass theorem. II

Cited by

• TRAPPED SURFACES