A Penrose-like inequality with charge

DOI10.1007/s10714-013-1588-8zbMath1278.83018arXiv1308.3591OpenAlexW3099555758MaRDI QIDQ378850

Marcus A. Khuri

Publication date: 12 November 2013

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3591

zbMATH Keywords

Penrose inequalityconformal deformationJang equation

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Einstein-Maxwell equations (83C22)

Related Items

The conformal flow of metrics and the general Penrose inequality ⋮ Deformations of charged axially symmetric initial data and the mass-angular momentum-charge inequality ⋮ A localized spacetime Penrose inequality and horizon detection with quasi-local mass ⋮ Penrose-like inequality with angular momentum for minimal surfaces ⋮ Comments on Penrose inequality with angular momentum for outermost apparent horizons ⋮ Penrose inequalities and a positive mass theorem for charged black holes in higher dimensions ⋮ Geometric inequalities for quasi-local masses ⋮ Mean-stable surfaces in static Einstein-Maxwell theory

Cites Work

• Unnamed Item
• Unnamed Item
• P.D.E.'s which imply the Penrose conjecture
• Blowup of Jang's equation at outermost marginally trapped surfaces
• On the capacity of surfaces in manifolds with nonnegative scalar curvature
• A Jang equation approach to the Penrose inequality
• A Penrose-like inequality for general initial data sets
• Proof of the positive mass theorem. II
• A Penrose-like inequality for the mass of Riemannian asymptotically flat manifolds
• The inverse mean curvature flow and the Riemannian Penrose inequality
• Proof of the Riemannian Penrose inequality using the positive mass theorem.
• Erratum to: ``A Penrose-like inequality for general initial data sets
• On a Penrose inequality with charge
• The Riemannian Penrose Inequality with Charge for Multiple Black Holes
• Inequalities Relating Area, Energy, Surface Gravity, and Charge of Black Holes
• Boundary value problems for Dirac-type equations
• On the Penrose inequality for charged black holes
• Rigidity in the positive mass theorem with charge
• Existence and Blow-Up Behavior for Solutions of the Generalized Jang Equation

This page was built for publication: A Penrose-like inequality with charge