The positive mass theorem for multiple rotating charged black holes

DOI10.1007/s00526-016-0969-8zbMath1339.83029arXiv1502.06290OpenAlexW2964005049MaRDI QIDQ283558

Gilbert Weinstein, Marcus A. Khuri

Publication date: 13 May 2016

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.06290

zbMATH Keywords

positive mass theoremEinstein-Maxwell equationsADM massaxisymmetric initial data setsmultiple rotating charged black holesrigidity statement

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) PDEs in connection with relativity and gravitational theory (35Q75) Einstein-Maxwell equations (83C22)

Related Items (7)

Transformations of asymptotically AdS hyperbolic initial data and associated geometric inequalities ⋮ The positive mass theorem with angular momentum and charge for manifolds with boundary ⋮ Relating mass to angular momentum and charge in five-dimensional minimal supergravity ⋮ Harmonic maps with prescribed singularities and applications in general relativity ⋮ Geometric inequalities for quasi-local masses ⋮ A Penrose-type inequality with angular momentum and charge for axisymmetric initial data ⋮ 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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