A model-independent compact dynamical system formulation for exploring bounce and cyclic cosmological evolutions in $$f\, (R)$$ f ( R ) gravity
Abstract Using the dynamical systems approach together with the cosmographic parameters, we present a model-independent dynamical system formulation for cosmology in f(R) gravity. The formulation is model-independent in the sense that one needs to specify not a particular functional form of f(R) a-p...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13707-4 |
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| author | Saikat Chakraborty Charlotte Louw A. S. Agrawal Peter K. S. Dunsby |
| author_facet | Saikat Chakraborty Charlotte Louw A. S. Agrawal Peter K. S. Dunsby |
| author_sort | Saikat Chakraborty |
| collection | DOAJ |
| description | Abstract Using the dynamical systems approach together with the cosmographic parameters, we present a model-independent dynamical system formulation for cosmology in f(R) gravity. The formulation is model-independent in the sense that one needs to specify not a particular functional form of f(R) a-priori, but rather a particular cosmological evolution, which fixes the cosmography. In a sense, our approach is the way around the reconstruction method. This is shown using both non-compact and compact dynamical variables. The focus in this paper is on the compact analysis since we demonstrate the applicability of this formulation using examples of bouncing and cyclic cosmology. In particular, our analysis reveals, in a model-independent manner, the problem of achieving such cosmologies when the universe is globally spatially flat and devoid of matter. |
| format | Article |
| id | doaj-art-e74a15a78ec14b95bee717e3055a5e58 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-e74a15a78ec14b95bee717e3055a5e582025-02-02T12:39:14ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-12-01841212010.1140/epjc/s10052-024-13707-4A model-independent compact dynamical system formulation for exploring bounce and cyclic cosmological evolutions in $$f\, (R)$$ f ( R ) gravitySaikat Chakraborty0Charlotte Louw1A. S. Agrawal2Peter K. S. Dunsby3The Institute for Fundamental Study, Naresuan UniversityDepartment of Mathematics and Applied Mathematics, Cosmology and Gravity Group, University of Cape TownDepartment of Mathematics, Jayawant Shikshan Prasarak Mandal UniversityDepartment of Mathematics and Applied Mathematics, Cosmology and Gravity Group, University of Cape TownAbstract Using the dynamical systems approach together with the cosmographic parameters, we present a model-independent dynamical system formulation for cosmology in f(R) gravity. The formulation is model-independent in the sense that one needs to specify not a particular functional form of f(R) a-priori, but rather a particular cosmological evolution, which fixes the cosmography. In a sense, our approach is the way around the reconstruction method. This is shown using both non-compact and compact dynamical variables. The focus in this paper is on the compact analysis since we demonstrate the applicability of this formulation using examples of bouncing and cyclic cosmology. In particular, our analysis reveals, in a model-independent manner, the problem of achieving such cosmologies when the universe is globally spatially flat and devoid of matter.https://doi.org/10.1140/epjc/s10052-024-13707-4 |
| spellingShingle | Saikat Chakraborty Charlotte Louw A. S. Agrawal Peter K. S. Dunsby A model-independent compact dynamical system formulation for exploring bounce and cyclic cosmological evolutions in $$f\, (R)$$ f ( R ) gravity European Physical Journal C: Particles and Fields |
| title | A model-independent compact dynamical system formulation for exploring bounce and cyclic cosmological evolutions in $$f\, (R)$$ f ( R ) gravity |
| title_full | A model-independent compact dynamical system formulation for exploring bounce and cyclic cosmological evolutions in $$f\, (R)$$ f ( R ) gravity |
| title_fullStr | A model-independent compact dynamical system formulation for exploring bounce and cyclic cosmological evolutions in $$f\, (R)$$ f ( R ) gravity |
| title_full_unstemmed | A model-independent compact dynamical system formulation for exploring bounce and cyclic cosmological evolutions in $$f\, (R)$$ f ( R ) gravity |
| title_short | A model-independent compact dynamical system formulation for exploring bounce and cyclic cosmological evolutions in $$f\, (R)$$ f ( R ) gravity |
| title_sort | model independent compact dynamical system formulation for exploring bounce and cyclic cosmological evolutions in f r f r gravity |
| url | https://doi.org/10.1140/epjc/s10052-024-13707-4 |
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