FRW string cosmological solutions via Hojman symmetry
| Autor: | Darabi, F., Golmohammadi, M., Rezaei-Aghdam, A. |
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| Rok vydání: | 2020 |
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| Zdroj: | Int. J. Geom. Methods Mod. Phys, 17, 12 (2020) 2050175 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S0219887820501753 |
| Popis: | In this paper, we find exact string cosmological solutions for FRW cosmology, by using Hojman symmetry approach. The string cosmology under consideration includes a scalar field $\psi(t)$ with the potential $W(\psi)$, and a totally antisymmetric field strength $H_{\mu\nu\rho}$ which is specifically defined in terms of the scale factor $a(t)$. We show that for this string cosmology, Hojman conserved quantities exist using which new exact solutions for the scale factor and the scalar field are obtained for specific potentials $W(\psi)$ with some free parameters. The presence of these parameters, together with those of arising from Hojman symmetry, is an important advantage using which one can construct the solutions $a(t)$ and $\psi(t)$ with variety of cosmological behaviors. Comment: 14 pages, version published online in IJGMMP |
| Databáze: | arXiv |
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