The dynamics of Lemaître-Tolman cosmologies

Mathematics – Logic

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

6

Scientific paper

In this paper we give a coordinate-independent analysis of the dynamics of the spherically symmetric Lemaître-Tolman (LT) cosmologies, emphasizing their relation with the Friedmann-Lemaître (FL) cosmologies. We show that in general, ever-expanding LT cosmologies isotropize at late times, becoming asymptotic to the de Sitter universe or to the Milne universe, depending on whether or not a cosmological constant is present. The rate of isotropization depends significantly on whether Λ > 0 or Λ = 0. We introduce a dimensionless scalar representing the ratio of the Weyl curvature to the Ricci curvature, and show that in both cases it has a finite limit at late times, whose value determines the asymptotic spatial inhomogeneity in various physical quantities. We coin the phrase 'residual inhomogeneity' to describe these effects. We also identify the LT cosmologies for which the initial singularity is isotropic, and show that there is a subclass of models that are close-to-FL globally in time and in space.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

The dynamics of Lemaître-Tolman cosmologies 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 dynamics of Lemaître-Tolman cosmologies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The dynamics of Lemaître-Tolman cosmologies will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-1242625

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.