4 citations · 16 across the 6 of their papers we have counts for
6 papers
Local and Global Analytic Solutions for a Class of Characteristic Problems of the Einstein Vacuum Equations in the "Double Null Foliation Gauge"
Giulio Caciotta, Francesco Nicolò
The main goal of this work consists in showing that the analytic solutions for a class of characteristic problems for the Einstein vacuum equations have an existence region larger…
The non linear perturbation of the Kerr spacetime in an external region
Giulio Caciotta, Francesco Nicolò
We prove, outside the influence region of a ball of radius centered in the origin of the initial data hypersurface, the existence of global solutions near to Kerr spacetime,…
The peeling in the "very external region" of non linear perturbations of the Kerr spacetime
Francesco Nicolò
Let an initial data metric be, outside a ball centered in the origin, the induced metric on of a Kerr spacetime (with a mass and angular momentum…
Global characteristic problem for the Einstein vacuum equations with small initial data, (II): The existence proof
Giulio Caciotta, Francesco Nicolò
This is the second part of our result on a class of global characteristic problems for the Einstein vacuum equations with small initial data. In the previous work denoted by (I), o…
Local existence in a class of characteristic problems for the Einstein vacuum equations
Francesco Nicolò
This paper has been withdrawn by the author due to an error in the use of the Cauchy-Kowalevski theorem in section 4., theorem 4.1 which does not allow to prove the final result. W…
Global characteristic problem for Einstein vacuum equations with small initial data: (I) The initial data constraints
Giulio Caciotta, Francesco Nicolò
We show how to prescribe the initial data of a characteristic problem satisfying the costraints, the smallness, the regularity and the asymptotic decay suitable to prove a global e…