We present the state-of-the-art concerning the relativistic constraints, which describe the
geometry of hypersurfaces in a spacetime subject to the Einstein field equations. We review …

AMS :: Bulletin of the American Mathematical Society Skip to Main Content American
Mathematical Society American Mathematical Society MathSciNet Bookstore Publications …

The book offers an expanded version of lectures given at ETH Zürich in the framework of a
Nachdiplomvorlesung. Compactness and stability for nonlinear elliptic equations in the …

We prove the stability of the Einstein-scalar field Lichnerowicz equation under subcritical
perturbations of the critical nonlinearity in dimensions n= 3, 4, 5 n= 3, 4, 5. As a …

The subject of this paper is Einstein's equations coupled to a non-linear scalar field with an
exponential potential. The problem we consider is that of proving future global non-linear …

One of the most effective ways of constructing and studying solutions of Einstein's
gravitational field equations is via the Initial Value Problem. According to this approach, one …

In this paper, we study the stability and multiple solutions to Einstein-scalar field
Lichnerowicz equation on compact Riemannian manifolds. In particular, in dimension no …

We study the conformal and conformal thin sandwich (CTS) methods as candidates for
parameterizing the set vacuum initial data for the Cauchy problem of general relativity. To …

Dans cette Note on démontre un résultat de type de Liouville des solutions régulières pour
l'équation de Lichnerowicz dans Rn. En utilisant la même méthode on détermine également …

We survey some results on scalar curvature and properties of solutions to the Einstein
constraint equations. Topics include an extended discussion of asymptotically flat solutions …