Bibliographic Information: Ignat’ev, Yu.G., Samigullina, A.R. Cosmological models based on an asymmetric scalar Higgs doublet with potential interactions between components. arXiv:2410.10703v1 [gr-qc] 14 Oct 2024
Research Objective: This study investigates the cosmological implications of models employing an asymmetric scalar Higgs doublet with potential interactions between its components, focusing on their behavior near cosmological singularities and their potential to explain early universe phenomena.
Methodology: The researchers employ a mathematical model based on Einstein's equations coupled with the equations for classical (Φ) and phantom (ϕ) scalar fields within the framework of an asymmetric scalar Higgs doublet. They analyze the system's dynamic equations, identify singular points, and perform numerical simulations to study the evolution of these models under various initial conditions and parameter values.
Key Findings: The study reveals that these models exhibit a wide range of behaviors depending on the parameters, including models with:
Main Conclusions: The authors propose that these models, particularly those exhibiting rebound points and "almost Euclidean cycles," offer a promising avenue for understanding the early universe's dynamics, including the formation of supermassive black holes. They suggest that the scalar field oscillations near rebound points could provide a mechanism for particle creation, similar to their previous work on models with kinetic interactions.
Significance: This research contributes to the ongoing exploration of alternative cosmological models and their potential to address open questions in our understanding of the early universe. The study's focus on an asymmetric scalar Higgs doublet with potential interactions provides a novel framework for investigating the dynamics of scalar fields in a cosmological context.
Limitations and Future Research: The authors acknowledge the mathematical complexity of the model, which poses challenges for analytical studies. Future research could explore more detailed analytical investigations of specific aspects of the model, such as the behavior near rebound points and the formation of "almost Euclidean cycles." Further investigation into the potential implications of these models for supermassive black hole formation and other early universe phenomena is also warranted.
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by Yu.G. Ignat'... at arxiv.org 10-15-2024
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