Asymptotics and singularities in cosmological models with positive cosmological constant

Details Asymptotics and singularities in cosmological models with positive cosmological constant Asymptotics and singularities in cosmological models with positive cosmological constant

2007-10-23

arxiv.org/abs/0710.4297v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

PhD thesis, Max-Planck Institute for Gravitational Physics and University of Potsdam, May 2007, 176 pages, 51 figures

Scientific paper

This thesis is concerned with global properties of those cosmological solutions of Einstein's field equations which obey accelerated expansion into the future driven by a non-vanishing cosmological constant, as suggested by current cosmological observations. In particular, the strong cosmic censorship and BKL conjecture are investigated in special classes of spacetimes. For this, a new numerical technique based on spectral methods is introduced to be able to deal with situations where the spatial topology is non-trivial from the numerical point of view, such as the 3-sphere. Therefor, an explicit spectral regularization at the - in single patch approaches inevitable - coordinate singularities is worked out. After having collected the necessary background material, including a description of the problems of interest, we discuss the method and its implementation. Then we perform various tests, in particular also in the presence of cosmological singularities. After that, the numerical method is applied to obtain insights into three open issues in mathematical cosmology: first, we make an attempt to describe the singularity structure in Gowdy spacetimes with positive cosmological constants with spatial 3-sphere and those with spatial 3-torus topology. Second, we perform a stability analysis of Gowdy symmetry within the class of U(1)-symmetric spacetimes for spatial 3-sphere topology. Third, we make a preliminary analysis of the behavior of certain $\lambda$-Taub-NUT Cauchy horizons under Gowdy perturbations. Finally, we summarize the current status and open problems, and give an outlook.

Affiliated with

Also associated with

No associations

Rating

Asymptotics and singularities in cosmological models with positive cosmological constant 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 Asymptotics and singularities in cosmological models with positive cosmological constant, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotics and singularities in cosmological models with positive cosmological constant will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-456316