The existence of maximal slicings in asymptotically flat spacetimes

DOI10.1007/BF01608741zbMath0336.53015OpenAlexW2031327163MaRDI QIDQ1230253

K. Appert

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1007/bf01608741

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items

Momenta and reduction for general relativity ⋮ Conformal changes of metrics and the initial-value problem of general relativity ⋮ Hypersurfaces of constant mean extrinsic curvature ⋮ Isolated maximal surfaces in spacetime ⋮ A necessary and sufficient condition for York data to specify an asymptotically flat spacetime ⋮ Variational aspects of relativistic field theories, with application to perfect fluids ⋮ Solution of the local mass problem in general relativity ⋮ Spaces of functions with asymptotic conditions and existence of non compact maximal submanifolds of a Lorentzian manifold ⋮ The existence of non-trivial asymptotically flat initial data for vacuum spacetimes ⋮ The Poincaré group as the symmetry group of canonical general relativity ⋮ A new proof of the positive energy theorem. ⋮ Maximal slicings in spherical symmetry: Local existence and construction ⋮ Anisotropic Einstein data with isotropic non negative prescribed scalar curvature

Cites Work

• Republication of: The dynamics of general relativity
• Perfect fluid flows over \(\mathbb{R}^n\) with asymptotic conditions
• The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system. I
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