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Scalar fields and 3D Flat Space Cosmologies

2025/06/02 by Arjun Bagchi, Soham Biswas, Bagchi, Arjun +5 · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Advanced Mathematical Theories and Applications #Galaxies: Formation, Evolution, Phenomena

paper · pdf · doi:10.48550/arxiv.2506.02148

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 AdS3. 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.

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