A local analytic characterization of Schwarzschild metrics

DOI10.1016/S0393-0440(01)00063-8zbMath1028.53075OpenAlexW2050193527MaRDI QIDQ1867208

Manuel Fernández-López, Demir N. Kupeli, Eduardo García-Río

Publication date: 2 April 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(01)00063-8

zbMATH Keywords

vector fieldLocal Möbius equationStatic reference frameTension field of aWarped product decomposition

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Space-time singularities, cosmic censorship, etc. (83C75) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (1)

Vacuum Einstein field equations in smooth metric measure spaces: the isotropic case*

Cites Work

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• Second fundamental form of a map
• The Schwarzian derivative and conformal mapping of Riemannian manifolds
• Twisted products in pseudo-Riemannian geometry
• A local characterization of Schwarzschild and Reissner metrics
• Conformal vector fields on pseudo-Riemannian spaces
• Harmonic-Killing vector fields
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• General Relativity for Mathematicians
• The Large Scale Structure of Space-Time

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