Mass and angular-momentum inequalities for axi-symmetric initial data sets I: Positivity of mass

DOI10.1016/j.aop.2007.12.010zbMath1151.83008arXiv0710.3680OpenAlexW2117300682MaRDI QIDQ950110

Piotr T. Chrusciel

Publication date: 22 October 2008

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

Full work available at URL: https://arxiv.org/abs/0710.3680

zbMATH Keywords

axi-symmetric general relativistic initial dataglobal isothermal coordinatespositive energy theorem

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

Related Items (17)

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Cites Work

• On space-times with U(1)\(\times U(1)\) symmetric compact Cauchy surfaces
• Mass and angular-momentum inequalities for axi-symmetric initial data sets. II: Angular momentum
• The isometry groups of asymptotically flat, asymptotically empty space-times with timelike ADM four-momentum
• Asymptotic estimates in Weighted Hölder spaces for a class of elliptic scale-covariant second order operators
• The positive mass and isoperimetric inequalities for axisymmetric black holes in four and five dimensions
• Proof of the (local) angular momentum–mass inequality for axisymmetric black holes
• Exact Solutions of Einstein's Field Equations
• Progress in relativistic gravitational theory using the inverse scattering method
• Killing vectors in asymptotically flat space–times. I. Asymptotically translational Killing vectors and the rigid positive energy theorem
• Classification of the Actions of the Circle on 3-Manifolds
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