Scalar modes and the linearized Schwarzschild solution on a quantized FLRW space-time in Yang-Mills matrix models
Abstract
We study scalar perturbations of a recently found 3+1-dimensional FLRW quantum space-time solution in Yang-Mills matrix models. In particular, the linearized Schwarzschild metric is obtained as a solution. It arises from a quasi-static would-be massive graviton mode, and slowly decreases during the cosmic expansion. Along with the propagating graviton modes, this strongly suggests that 3+1 dimensional (quantum) gravity emerges from the IKKT matrix model on this background. For the dynamical scalar modes, non-linear effects must be taken into account. We argue that they lead to non-Ricci-flat metric perturbations with very long wavelengths, which would be perceived as dark matter from the GR point of view.
Cite
@article{arxiv.1905.07255,
title = {Scalar modes and the linearized Schwarzschild solution on a quantized FLRW space-time in Yang-Mills matrix models},
author = {Harold C. Steinacker},
journal= {arXiv preprint arXiv:1905.07255},
year = {2020}
}
Comments
25+10 pages, 1 figure. V2: minor changes, published version. V3: minor corrections