BKL oscillations in 2+1 space-time dimensions
General Relativity and Quantum Cosmology
2018-11-14 v1
Abstract
We investigate the question whether there are cosmological models in 2+1 space-time dimensions which exhibit dynamics similar to BKL oscillations, as the cosmological singularity is approached. Based on intuition, we conceive a toy model which displays such oscillatory dynamics. We show that in the phase space of this model, the cosmological singularity is represented by a separatrix curve and discuss the model's dynamics within the cosmological billiards picture. Finally, we offer a physical interpretation for a family of similar cosmological models in terms of the topological degrees of freedom of gravity in 2+1 dimensions.
Cite
@article{arxiv.1811.05208,
title = {BKL oscillations in 2+1 space-time dimensions},
author = {Philipp Fleig and Vladimir A. Belinski},
journal= {arXiv preprint arXiv:1811.05208},
year = {2018}
}
Comments
22 pages, 4 figures