Scalar fields and 3D Flat Space Cosmologies
Abstract
Flat Space Cosmologies (FSC) are time-dependent solutions in Einstein gravity in three-dimensional (3D) spacetimes with zero cosmological constant. These are orbifolds of 3D flat space that have a cosmological horizon and can be thought of as analogs of the Banados-Tietelboim-Zanelli (BTZ) black holes of AdS. We study scalar perturbations about these FSC solutions and explore the spectrum of quasi-normal modes (QNMs) crucially treating the cosmological horizon as a hard wall and extending to complex momenta. We connect this intrinsic analysis with the flatspace limit of the corresponding analysis in the BTZ black hole. The FSC QNMs are then utilized to build the scalar one-loop partition function by methods pioneered by Denef, Hartnoll and Sachdev in various simplifying limits and compared with existing answers in the literature.
Cite
@article{arxiv.2506.02148,
title = {Scalar fields and 3D Flat Space Cosmologies},
author = {Arjun Bagchi and Supratik Biswas and Astha Kakkar and Saikat Mondal},
journal= {arXiv preprint arXiv:2506.02148},
year = {2025}
}
Comments
42 pages, 4 figures, references added