Self-dual cosmology

González, Mariana Carrillo; Lipstein, Arthur; Nagy, Silvia

Abstract

We construct cosmological spacetimes with a self-dual Weyl tensor whose dynamics are described by conformally coupled scalars with only cubic self-interactions. Similar to the previously discovered cases in flat and (Anti) de Sitter backgrounds, the interactions are characterized by a bracket that encodes a kinematic algebra. We discuss how the color-kinematics duality and double copy are realized in these cosmological backgrounds. If we further impose that the Ricci scalar is that of an FLRW spacetime, we find two new self-dual metrics corresponding to radiation-dominated and coasting (non-accelerating) FLRW backgrounds. Relaxing this requirement, we find an infinite family of solutions given by three different conformal classes of cosmological self-dual metrics. These solutions approximate those of FLRW as long as we impose a simple additional constraint on the scalar theory.

Citation

González, M. C., Lipstein, A., & Nagy, S. (2024). Self-dual cosmology. Journal of High Energy Physics, 2024(10), Article 183. https://doi.org/10.1007/jhep10%282024%29183

• Journal Article Type: Article
• Acceptance Date: Oct 9, 2024
• Online Publication Date: Oct 24, 2024
• Publication Date: Oct 24, 2024
• Deposit Date: Oct 28, 2024
• Publicly Available Date: Oct 28, 2024
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2024
• Issue: 10
• Article Number: 183
• DOI: https://doi.org/10.1007/jhep10%282024%29183
• Keywords: Space-Time Symmetries, Classical Theories of Gravity, Cosmological models
• Public URL: https://durham-repository.worktribe.com/output/2989903