Some Evolution Problems in the Vacuum Einstein Equations

DOI10.1007/978-4-431-56021-0_11zbMath1346.83014OpenAlexW2517045657MaRDI QIDQ2819650

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Publication date: 29 September 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-4-431-56021-0_11

zbMATH Keywords

vacuum Einstein equationscomplete null conecharacteristic initial data problemformation of trapped surface

Mathematics Subject Classification ID

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

Cites Work

• On the formation of trapped surfaces
• A fully anisotropic mechanism for formation of trapped surfaces in vacuum
• The existence of a black hole due to condensation of matter
• The instability of naked singularities in the gravitational collapse of a scalar field.
• On the asymptotics for the vacuum Einstein constraint equations
• Global aspects of the Cauchy problem in general relativity
• Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires
• Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations
• GLOBAL CHARACTERISTIC PROBLEM FOR EINSTEIN VACUUM EQUATIONS WITH SMALL INITIAL DATA: (I) THE INITIAL DATA CONSTRAINTS
• On the global initial value problem and the issue of singularities
• Gravitational Collapse and Space-Time Singularities
• Scalar curvature deformation and a gluing construction for the Einstein constraint equations

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