The non linear perturbation of the Kerr spacetime in an external region

Details The non linear perturbation of the Kerr spacetime in an external region The non linear perturbation of the Kerr spacetime in an external region

2009-08-29

arxiv.org/abs/0908.4330v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

118 pages

Scientific paper

We prove, outside the influence region of a ball of radius $R_0$ centered in the origin of the initial data hypersurface, the existence of global solutions near to Kerr spacetime, provided that the initial data are sufficiently near to those of Kerr; This external region is the "far" part of the outer region of the perturbed Kerr spacetime. Moreover if we assume that the corrections to the Kerr metric decay sufficiently fast, $o(r^{-3})$, we prove that the various null components of the Riemann tensor decay in agreement with the "Peeling theorem".

Affiliated with

Also associated with

No associations

Rating

The non linear perturbation of the Kerr spacetime in an external region 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 The non linear perturbation of the Kerr spacetime in an external region, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The non linear perturbation of the Kerr spacetime in an external region will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-597480