Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-08-06
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
50 pages
Scientific paper
In this paper we prove a global existence theorem, in the direction of cosmological expansion, for sufficiently small perturbations of a family of $n+1$-dimensional, $n \geq 3$, spatially compact spacetimes which generalizes the $k=-1$ Friedmann--Robertson--Walker vacuum spacetime. Our results demonstrate causal geodesic completeness of the perturbed spacetimes, in the expanding direction, and show that the scale-free geometry converges towards an element in the moduli space of Einstein geometries, with a rate of decay depending on the stability properties of the Einstein geometry.
Andersson L.-L.
Moncrief Vincent
No associations
LandOfFree
Einstein spaces as attractors for the Einstein flow 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 Einstein spaces as attractors for the Einstein flow, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Einstein spaces as attractors for the Einstein flow will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-705479