Inequalities between size and charge for bodies and the existence of black holes due to concentration of charge

DOI10.1063/1.4936149zbMath1331.83044arXiv1505.04516OpenAlexW3102901168MaRDI QIDQ3457162

Marcus A. Khuri

Publication date: 10 December 2015

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

Full work available at URL: https://arxiv.org/abs/1505.04516

zbMATH Keywords

Einstein equationsenergy conditionuniversal inequalityinitial data setsformation of black holescharge of a body

Mathematics Subject Classification ID

Black holes (83C57) 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) Space-time singularities, cosmic censorship, etc. (83C75) Electromagnetic theory (general) (78A25) Einstein-Maxwell equations (83C22)

Related Items (2)

Inequalities between size, mass, angular momentum, and charge for axisymmetric bodies and the formation of trapped surfaces ⋮ Geometric inequalities in spherically symmetric spacetimes

Cites Work

• Unnamed Item
• P.D.E.'s which imply the Penrose conjecture
• The existence of a black hole due to condensation of matter
• A Jang equation approach to the Penrose inequality
• Proof of the positive mass theorem. II
• Geometry of three manifolds and existence of black hole due to boundary effect
• On the shape of bodies in general relativistic regimes
• Existence of black holes due to concentration of angular momentum
• Area-charge inequality for black holes
• Some remarks on the size of bodies and black holes
• Trapped surfaces due to concentration of matter in spherically symmetric geometries
• A model of a spheroidal body
• Hoop conjecture and trapped surfaces in nonspherical massive systems
• Trapped surfaces due to concentration of gravitational radiation
• Some comments on gravitational entropy and the inverse mean curvature flow
• Gravitational collapse of vacuum gravitational field configurations
• What happens at the horizon(s) of an extreme black hole?
• Existence and Blow-Up Behavior for Solutions of the Generalized Jang Equation
• General Relativity

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