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70th anniversary of the birth of V.A. Rubakov. Reviews of topical problems


Nonsingular cosmological scenarios in scalar-tensor theories and their stability

†  a, b, ‡  a, c, d
a Institute for Nuclear Research, Russian Academy of Sciences, prosp. 60-letiya Oktyabrya 7a, Moscow, 117312, Russian Federation
b Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation
c Institute of Theoretical and Mathematical Physics, Lomonosov Moscow State University, Lomonosovskii prosp. 27, korp. 1, Moscow, 119192, Russian Federation
d National Research Centre ‘Kurchatov Institute’, pl. akad. Kurchatova 1, Moscow, 123182, Russian Federation

This article gives a concise overview of the development and current status of studies on models of the early Universe without an initial singularity, namely the cosmological bounce and genesis scenarios, constructed within a broad class of scalar-tensor theories, specifically Horndeski theories and their generalizations. The review focuses on topics related to linear stability at the perturbation level against the background of nonsingular cosmological solutions: (1) the no-go theorem, valid for nonsingular cosmologies within the Hornde„ski theory, (2) updates on possible approaches to evade the no-go theorem, (3) the role of disformal transformations relating the Horndeski subclasses in generalized theories like DHOST, (4) effects on stability caused by additional matter coupling and the potential emergence of superluminal perturbation modes in the multi-component setting.

Fulltext pdf (559 KB)
Fulltext is also available at DOI: 10.3367/UFNe.2024.12.039826
Keywords: scalar-tensor theories, nonsingular cosmology, stability, superluminality, cosmological bounce, genesis
PACS: 04.20.Dw, 04.50.Kd, 98.80.Bp (all)
DOI: 10.3367/UFNe.2024.12.039826
URL: https://ufn.ru/en/articles/2025/2/d/
001499506200004
2-s2.0-105001199977
2025PhyU...68..163V
Citation: Volkova V E, Mironov S A "Nonsingular cosmological scenarios in scalar-tensor theories and their stability" Phys. Usp. 68 163–176 (2025)
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Received: 24th, September 2024, revised: 11th, December 2024, 24th, December 2024

Îðèãèíàë: Âîëêîâà Â Å, Ìèðîíîâ Ñ À «Êîñìîëîãè÷åñêèå ñöåíàðèè áåç íà÷àëüíîé ñèíãóëÿðíîñòè â ñêàëÿðíî-òåíçîðíûõ òåîðèÿõ è èõ óñòîé÷èâîñòü» ÓÔÍ 195 172–187 (2025); DOI: 10.3367/UFNr.2024.12.039826

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