Complete cosmological evolution model of a classical scalar field with a Higgs potential. III: Features of phase trajectory flows. (English. Russian original) Zbl 1515.83370
Russ. Phys. J. 64, No. 10, 1808-1814 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 64, No. 10, 26-31 (2021).
Summary: The flows of phase trajectories of cosmological models based on the vacuum classical Higgs field and their behavior on the Einstein-Higgs surface near singular points of a dynamical system are investigated by numerical simulation. The influence of the singular points on the process of phase flow splitting is shown and the efficiency of the Einstein-Higgs hypersurface application is demonstrated.
For Part II, see [the authors, ibid. 64, No. 5, 931–936 (2021; Zbl 1514.83062)].
For Part II, see [the authors, ibid. 64, No. 5, 931–936 (2021; Zbl 1514.83062)].
MSC:
| 83F05 | Relativistic cosmology |
| 83E05 | Geometrodynamics and the holographic principle |
| 81V22 | Unified quantum theories |
| 14J70 | Hypersurfaces and algebraic geometry |
| 58J47 | Propagation of singularities; initial value problems on manifolds |
| 83-10 | Mathematical modeling or simulation for problems pertaining to relativity and gravitational theory |
Citations:
Zbl 1514.83062References:
| [1] | Ignat’ev, YG; Ignatyev, DY, Grav. Cosmol., 26, 29 (2020) · Zbl 1447.83018 · doi:10.1134/S0202289320010065 |
| [2] | Yu. G. Ignat’ev and I. A. Kokh, Theor. Math. Phys., 207, No. 3,133 (2021). · Zbl 1468.83069 |
| [3] | Ignat’ev, YG; Samigullina, AR, Russ. Phys. J., 64, 3, 523-533 (2021) · Zbl 1472.83116 · doi:10.1007/s11182-021-02359-6 |
| [4] | Ignat’ev, YG; Samigullina, AR, Russ. Phys. J., 64, 5, 931-936 (2021) · Zbl 1514.83062 · doi:10.1007/s11182-021-02411-5 |
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