A Jang equation approach to the Penrose inequality
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Publication:972050
DOI10.3934/dcds.2010.27.741zbMath1193.53169arXiv0910.4785OpenAlexW2963730935MaRDI QIDQ972050
Marcus A. Khuri, Hubert L. Bray
Publication date: 25 May 2010
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0910.4785
inverse mean curvature flowspherical symmetryPenrose inequalityspace-like hypersurfacesgeneralized Jang equation
Black holes (83C57) Applications of global differential geometry to the sciences (53C80) PDEs in connection with relativity and gravitational theory (35Q75)
Related Items (15)
Mathematical general relativity: A sampler ⋮ The conformal flow of metrics and the general Penrose inequality ⋮ Existence of black holes due to concentration of angular momentum ⋮ Inequalities between size and charge for bodies and the existence of black holes due to concentration of charge ⋮ Inequalities between size, mass, angular momentum, and charge for axisymmetric bodies and the formation of trapped surfaces ⋮ A Penrose-like inequality with charge ⋮ Nonexistence of solutions to the coupled generalized Jang equation/zero divergence system ⋮ Deformations of charged axially symmetric initial data and the mass-angular momentum-charge inequality ⋮ Transformations of asymptotically AdS hyperbolic initial data and associated geometric inequalities ⋮ Penrose-like inequality with angular momentum for minimal surfaces ⋮ Rigidity in the positive mass theorem with charge ⋮ Existence and Blow-Up Behavior for Solutions of the Generalized Jang Equation ⋮ Reduction arguments for geometric inequalities associated with asymptotically hyperboloidal slices ⋮ Stability of the spacetime positive mass theorem in spherical symmetry ⋮ Spherically symmetric counter examples to the Penrose inequality and the positive mass theorem under the assumption of the weak energy condition
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