Global characteristic problem for Einstein vacuum equations with small initial data: (I) The initial data constraints

Details Global characteristic problem for Einstein vacuum equations with small initial data: (I) The initial data constraints Global characteristic problem for Einstein vacuum equations with small initial data: (I) The initial data constraints

2004-09-06

arxiv.org/abs/gr-qc/0409028v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

77 pages, no figures; corrected misprints and minor errors, to appear on Journal of Hyperbolic Differential Equations (JHDE)

Scientific paper

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 existence result. In this paper, the first of two, we show in detail the construction of the initial data and give a sketch of the existence result. This proof, which mimicks the analogous one for the non characteristic problem in [Kl-Ni], will be the content of a subsequent paper.

Affiliated with

Also associated with

No associations

Rating

Global characteristic problem for Einstein vacuum equations with small initial data: (I) The initial data constraints does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Global characteristic problem for Einstein vacuum equations with small initial data: (I) The initial data constraints, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global characteristic problem for Einstein vacuum equations with small initial data: (I) The initial data constraints will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-532743