On the oscillations and future asymptotics of locally rotationally symmetric Bianchi type III cosmologies with a massive scalar field*
| Autor: | David Fajman, Gernot Heißel, Maciej Maliborski |
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| Rok vydání: | 2020 |
| Předmět: |
Physics
Conjecture Physics and Astronomy (miscellaneous) Dynamical systems theory 010308 nuclear & particles physics Zero (complex analysis) FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Mathematical Physics (math-ph) Type (model theory) 01 natural sciences General Relativity and Quantum Cosmology Nonlinear dynamical systems 0103 physical sciences Metric (mathematics) Perturbation theory (quantum mechanics) 010306 general physics Scalar field Mathematical Physics Mathematical physics |
| Zdroj: | Classical and Quantum Gravity. 37:135009 |
| ISSN: | 1361-6382 0264-9381 |
| DOI: | 10.1088/1361-6382/ab8c97 |
| Popis: | We analyse spatially homogenous cosmological models of locally rotationally symmetric Bianchi type III with a massive scalar field as matter model. Our main result concerns the future asymptotics of these spacetimes and gives the dominant time behaviour of the metric and the scalar field for all solutions for late times. This metric is forever expanding in all directions, however in one spatial direction only at a logarithmic rate, while at a power-law rate in the other two. Although the energy density goes to zero, it is matter dominated in the sense that the metric components differ qualitatively from the corresponding vacuum future asymptotics. Our results rely on a conjecture for which we give strong analytical and numerical support. For this we apply methods from the theory of averaging in nonlinear dynamical systems. This allows us to control the oscillations entering the system through the scalar field by the Klein-Gordon equation in a perturbative approach. 25 pages, 6 figures. To be published in Classical and Qunatum Gravity - IOP. The new version includes small changes motivated by the helpful comments of the referees. In particular, we now give more information on the asymptotics of the scalar field |
| Databáze: | OpenAIRE |
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