On a class of global characteristic problems for the Einstein vacuum equations with small initial data

DOI10.1063/1.3480988zbMath1314.83010OpenAlexW1986477599MaRDI QIDQ5253955

Francesco Nicolò, Giulio Caciotta

Publication date: 5 June 2015

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

Full work available at URL: https://doi.org/10.1063/1.3480988

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (3)

Local and global analytic solutions for a class of characteristic problems of the Einstein vacuum equations in the ``Double null foliation gauge ⋮ On the evolution problem for the Einstein-Vlasov system ⋮ The Cauchy problem on a characteristic cone for the Einstein equations in arbitrary dimensions

Cites Work

• On characteristic initial-value and mixed problems
• Mixed Problems for Linear Systems of first Order Equations
• Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations
• CANONICAL FOLIATION ON A NULL HYPERSURFACE
• GLOBAL CHARACTERISTIC PROBLEM FOR EINSTEIN VACUUM EQUATIONS WITH SMALL INITIAL DATA: (I) THE INITIAL DATA CONSTRAINTS
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