Rigidity in the positive mass theorem with charge

DOI10.1063/1.4820469zbMath1304.83011arXiv1307.5499OpenAlexW3098290326MaRDI QIDQ5409686

Gilbert Weinstein, Marcus A. Khuri

Publication date: 14 April 2014

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

Full work available at URL: https://arxiv.org/abs/1307.5499

zbMATH Keywords

positive mass theoremrigidity statementMajumdar-Papapetrou spacetimeDirac-Jang system

Mathematics Subject Classification ID

Black holes (83C57) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Einstein-Maxwell equations (83C22)

Related Items (8)

A Penrose-like inequality with charge ⋮ Deformations of charged axially symmetric initial data and the mass-angular momentum-charge inequality ⋮ Constructing electrically charged Riemannian manifolds with minimal boundary, prescribed asymptotics, and controlled mass ⋮ The Penrose inequality and positive mass theorem with charge for manifolds with asymptotically cylindrical ends ⋮ Transformations of asymptotically AdS hyperbolic initial data and associated geometric inequalities ⋮ Existence and Blow-Up Behavior for Solutions of the Generalized Jang Equation ⋮ Penrose inequalities and a positive mass theorem for charged black holes in higher dimensions ⋮ Reduction arguments for geometric inequalities associated with asymptotically hyperboloidal slices

Cites Work

• P.D.E.'s which imply the Penrose conjecture
• On Witten's proof of the positive energy theorem
• A Jang equation approach to the Penrose inequality
• A strictly-positive mass theorem
• Proof of the positive mass theorem. II
• On the proof of the positive mass conjecture in general relativity
• A new proof of the positive energy theorem.
• The Yamabe problem
• Boundary value problems for Dirac-type equations
• On the Penrose inequality for charged black holes
• Killing vectors in asymptotically flat space–times. I. Asymptotically translational Killing vectors and the rigid positive energy theorem
• On Israel–Wilson–Perjés black holes
• Existence and Blow-Up Behavior for Solutions of the Generalized Jang Equation

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