Regularity conditions at spatial infinity revisited

Details Regularity conditions at spatial infinity revisited Regularity conditions at spatial infinity revisited

2008-07-16

arxiv.org/abs/0807.2507v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

41 pages

Scientific paper

The regular finite initial value problem at infinity is used to obtain regularity conditions on the freely specifiable parts of initial data for the vacuum Einstein equations with non-vanishing second fundamental form. These conditions ensure that the solutions of the propagation equations implied by the conformal Einstein equations at the cylinder at spatial infinity extend smoothly (and in fact analytically) through the critical sets where spatial infinity touches null infinity. In order to ease the analysis the conformal metric is assumed to be analytic, although the results presented here could be generalised to a setting where the conformal metric is only smooth. The analysis given here is a generalisation of the analysis on the regular finite initial value problem first carried out by Friedrich, for initial data sets with non-vanishing second fundamental form.

Affiliated with

Also associated with

No associations

Rating

Regularity conditions at spatial infinity revisited 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 Regularity conditions at spatial infinity revisited, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Regularity conditions at spatial infinity revisited will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-660295