Cosmological singularities and 2-dimensional dilaton gravity
Abstract
We study Big-Bang or -Crunch cosmological singularities in 2-dimensional dilaton-gravity-scalar theories, in general obtained by dimensional reduction of higher dimensional theories. The dilaton potential encodes information about the asymptotic data defining the theories, and encompasses various families such as flat space, , conformally as arising from nonconformal branes, and more general nonrelativistic theories. We find a kind of universal near singularity behaviour independent of the dilaton potential, giving universal interrelations between the exponents defining the time behaviour near the cosmological singularity. More detailed analysis using a scaling ansatz enables finding various classes of cosmological backgrounds, recovering known examples such as the Kasner singularity as well finding as new ones. We give some comments on the dual field theory from this point of view.
Cite
@article{arxiv.2006.09470,
title = {Cosmological singularities and 2-dimensional dilaton gravity},
author = {Ritabrata Bhattacharya and K. Narayan and Partha Paul},
journal= {arXiv preprint arXiv:2006.09470},
year = {2020}
}
Comments
v2: Latex, 32pgs, typos fixed, minor clarifications & references added, matches published version