Blowup of Jang's equation at outermost marginally trapped surfaces

DOI10.1007/s00220-009-0934-xzbMath1246.53100arXiv0711.4753OpenAlexW3098678414MaRDI QIDQ625455

Jan Metzger

Publication date: 17 February 2011

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.4753

zbMATH Keywords

blow upblowup surfacesJang's equationstrictly stable

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of global differential geometry to the sciences (53C80) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local submanifolds (53B25)

Related Items (8)

A Penrose-like inequality with charge ⋮ Density and positive mass theorems for initial data sets with boundary ⋮ Emergence of apparent horizon in gravitational collapse ⋮ The Jang equation reduction of the spacetime positive energy theorem in dimensions less than eight ⋮ Existence and Blow-Up Behavior for Solutions of the Generalized Jang Equation ⋮ Stability of the spacetime positive mass theorem in spherical symmetry ⋮ Codimension two marginally trapped submanifolds in Robertson-Walker spacetimes ⋮ A Penrose-like inequality for general initial data sets

Cites Work

• Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes
• A Penrose-like inequality for general initial data sets
• The area of horizons and the trapped region
• Proof of the positive mass theorem. II
• The inverse mean curvature flow and the Riemannian Penrose inequality
• Proof of the Riemannian Penrose inequality using the positive mass theorem.
• The Jang equation, apparent horizons and the Penrose inequality

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