GLOBAL CHARACTERISTIC PROBLEM FOR EINSTEIN VACUUM EQUATIONS WITH SMALL INITIAL DATA: (I) THE INITIAL DATA CONSTRAINTS

DOI10.1142/S0219891605000439zbMath1082.35151arXivgr-qc/0409028OpenAlexW2163030283MaRDI QIDQ4680614

Giulio Caciotta, Francesco Nicolò

Publication date: 7 June 2005

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0409028

zbMATH Keywords

existence resultconstruction of initial data

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75)

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• Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations
• Global solutions of nonlinear hyperbolic equations for small initial data
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Remarks on the global sobolev inequalities in the minkowski space Rⁿ⁺¹
• Hyperbolic reductions for Einstein's equations

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