Deformations of charged axially symmetric initial data and the mass-angular momentum-charge inequality

DOI10.1007/s00023-014-0378-5zbMath1330.83017arXiv1401.3384OpenAlexW3100652663MaRDI QIDQ896507

Ye Sle Cha, Marcus A. Khuri

Publication date: 9 December 2015

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.3384

zbMATH Keywords

deformationspositive mass theoremEinstein-Maxwell equationsPenrose inequalitymass-angular momentum-charge inequalitycharged axially symmetric initial dataarea of black holesinitial data of Einstein equations

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) Einstein-Maxwell equations (83C22)

Related Items (8)

The positive mass theorem for multiple rotating charged black holes ⋮ The conformal flow of metrics and the general Penrose inequality ⋮ GR angular momentum in the quadratic spinor Lagrangian formulation ⋮ 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 ⋮ Relating mass to angular momentum and charge in five-dimensional minimal supergravity ⋮ Reduction arguments for geometric inequalities associated with asymptotically hyperboloidal slices ⋮ Remarks on mass and angular momenta for U(1)2-invariant initial data

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