Bianchi cosmologies with anisotropic matter: Locally rotationally symmetric models

Autor(en)

Simone Calogero, Johannes Markus Heinzle

Abstrakt

The dynamics of cosmological models with isotropic matter sources (perfect fluids) is extensively studied in the literature; in comparison, the dynamics of cosmological models with anisotropic matter sources is not. In this paper we consider spatially homogeneous locally rotationally symmetric solutions of the Einstein equations with a large class of anisotropic matter models including collisionless matter (Vlasov), elastic matter, and magnetic fields. The dynamics of models of Bianchi types I, II, and IX are completely described; the two most striking results are the following. (i) There exist matter models, compatible with the standard energy conditions, such that solutions of Bianchi type IX (closed cosmologies) need not necessarily recollapse; there is an open set of forever expanding solutions. (ii) Generic type IX solutions associated with a matter model like Vlasov matter exhibit oscillatory behavior toward the initial singularity. This behavior differs significantly from that of vacuum/perfect fluid cosmologies; hence "matter matters". Finally, we indicate that our methods can probably be extended to treat a number of open problems in particular, the dynamics of Bianchi type VIII and Kantowski-Sachs solutions.

Organisation(en)

Gravitationsphysik

Externe Organisation(en)

Universidad de Granada

Journal

Physica D: Nonlinear Phenomena

Band

240

Seiten

636-669

Anzahl der Seiten

34

ISSN

0167-2789

DOI

https://doi.org/10.1016/j.physd.2010.11.015

Publikationsdatum

2011

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik, 103028 Relativitätstheorie, 103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/3b6c2e27-9d8c-4bb7-9d30-f76ea42dc9df