Dynamics in Interacting Scalar-Torsion Cosmology
In a spatially flat Friedmann–Lemaître–Robertson–Walker background space, we consider a scalar-torsion gravitational model which has similar properties to the dilaton theory. This teleparallel model is invariant under a discrete transformation similar to the Gasperini–Veneziano duality transformatio...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-07-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/7/7/244 |
| _version_ | 1797525956646141952 |
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| author | Andronikos Paliathanasis |
| author_facet | Andronikos Paliathanasis |
| author_sort | Andronikos Paliathanasis |
| collection | DOAJ |
| description | In a spatially flat Friedmann–Lemaître–Robertson–Walker background space, we consider a scalar-torsion gravitational model which has similar properties to the dilaton theory. This teleparallel model is invariant under a discrete transformation similar to the Gasperini–Veneziano duality transformation. Moreover, in the gravitational action integral, we introduce the Lagrangian function of a pressureless fluid source which is coupled to the teleparallel dilaton field. This specific gravitational theory with interaction in the dark sector of the universe was investigated by using methods of the dynamical system analysis. We calculate that the theory provides various areas of special interest for the evolution of the cosmological history. Inflationary scaling solutions and the de Sitter universe are recovered. Furthermore, we calculate that there exist an attractor which provides a stable solution where the two fluid components, the scalar field and the pressureless matter, contribute in the cosmological fluid. This solution is of special interest because it can describe the present epoch. Finally, the qualitative evolution of the cosmographic parameters is discussed. |
| first_indexed | 2024-03-10T09:20:22Z |
| format | Article |
| id | doaj.art-0193e79a06924390b66ed41843b43220 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-10T09:20:22Z |
| publishDate | 2021-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-0193e79a06924390b66ed41843b432202023-11-22T05:11:42ZengMDPI AGUniverse2218-19972021-07-017724410.3390/universe7070244Dynamics in Interacting Scalar-Torsion CosmologyAndronikos Paliathanasis0Institute of Systems Science, Durban University of Technology, P.O. Box 1334, Durban 4000, South AfricaIn a spatially flat Friedmann–Lemaître–Robertson–Walker background space, we consider a scalar-torsion gravitational model which has similar properties to the dilaton theory. This teleparallel model is invariant under a discrete transformation similar to the Gasperini–Veneziano duality transformation. Moreover, in the gravitational action integral, we introduce the Lagrangian function of a pressureless fluid source which is coupled to the teleparallel dilaton field. This specific gravitational theory with interaction in the dark sector of the universe was investigated by using methods of the dynamical system analysis. We calculate that the theory provides various areas of special interest for the evolution of the cosmological history. Inflationary scaling solutions and the de Sitter universe are recovered. Furthermore, we calculate that there exist an attractor which provides a stable solution where the two fluid components, the scalar field and the pressureless matter, contribute in the cosmological fluid. This solution is of special interest because it can describe the present epoch. Finally, the qualitative evolution of the cosmographic parameters is discussed.https://www.mdpi.com/2218-1997/7/7/244teleparallelscalar fielddilaton fieldscalar-torsioninteraction |
| spellingShingle | Andronikos Paliathanasis Dynamics in Interacting Scalar-Torsion Cosmology Universe teleparallel scalar field dilaton field scalar-torsion interaction |
| title | Dynamics in Interacting Scalar-Torsion Cosmology |
| title_full | Dynamics in Interacting Scalar-Torsion Cosmology |
| title_fullStr | Dynamics in Interacting Scalar-Torsion Cosmology |
| title_full_unstemmed | Dynamics in Interacting Scalar-Torsion Cosmology |
| title_short | Dynamics in Interacting Scalar-Torsion Cosmology |
| title_sort | dynamics in interacting scalar torsion cosmology |
| topic | teleparallel scalar field dilaton field scalar-torsion interaction |
| url | https://www.mdpi.com/2218-1997/7/7/244 |
| work_keys_str_mv | AT andronikospaliathanasis dynamicsininteractingscalartorsioncosmology |