Applications of theorems of Jean Leray to the Einstein-scalar field equations

DOI10.1007/s11784-006-0006-1zbMath1169.83007arXivgr-qc/0611009OpenAlexW2592308976MaRDI QIDQ998021

Yvonne Choquet-Bruhat, Daniel Pollack, James A. Isenberg

Publication date: 10 August 2007

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0611009

zbMATH Keywords

Einstein equationspartial differential equations

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Initial value problems for second-order hyperbolic equations (35L15) Hyperbolic equations on manifolds (58J45)

Related Items (12)

The general relativistic constraint equations ⋮ The initial-value formulation of the λ-R model ⋮ Mathematical general relativity: A sampler ⋮ Solutions to the Einstein-scalar field constraint equations with a small TT-tensor ⋮ Global nonlinear stability of large dispersive solutions to the Einstein equations ⋮ Arrow of time in string theory ⋮ Generalized Einstein-Scalar-Maxwell theories and locally geometric U-folds ⋮ The Einstein-scalar field constraint system in the positive case ⋮ On a fourth order Lichnerowicz type equation involving the Paneitz-Branson operator ⋮ The constraint equations in the presence of a scalar field: the case of the conformal method with volumetric drift ⋮ The Cauchy problem in hybrid metric-Palatini f(X)-gravity ⋮ Effective multiplicity for the Einstein-scalar field Lichnerowicz equation

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