Higher dimensional Bianchi type-I string cosmological model in f(R) theory of gravity
In this paper, we have studied Bianchi type-I string cosmological model by combining Kaluza-Klein (KK) theory and f(R) theory of gravity which is an extension of 5-dimensional KK string cosmological models. We have used equation of state in the form of p-string or Takabayasi string given by ρ=(1+ω)λ...
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| Format: | Article |
| Language: | English |
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Elsevier
2021-09-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844021021666 |
| _version_ | 1818676844224839680 |
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| author | Ahmed M. Al-Haysah A.H. Hasmani |
| author_facet | Ahmed M. Al-Haysah A.H. Hasmani |
| author_sort | Ahmed M. Al-Haysah |
| collection | DOAJ |
| description | In this paper, we have studied Bianchi type-I string cosmological model by combining Kaluza-Klein (KK) theory and f(R) theory of gravity which is an extension of 5-dimensional KK string cosmological models. We have used equation of state in the form of p-string or Takabayasi string given by ρ=(1+ω)λ, where ρ and λ denote the rest density of energy cloud of strings, and the tension density of the system of strings, respectively and ω is a constant. In order to get physically significant and viable solution various forms of the function f(R) are assumed, in this paper we assume f(R)=R+αR2 (e.g. Astashenok et al. (2017) [1]), where α is real number. Some physical and geometrical properties of the model are also discussed. |
| first_indexed | 2024-12-17T08:49:56Z |
| format | Article |
| id | doaj.art-bbb8a0c06a264f96ba58c7419c2f8a72 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-12-17T08:49:56Z |
| publishDate | 2021-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-bbb8a0c06a264f96ba58c7419c2f8a722022-12-21T21:56:06ZengElsevierHeliyon2405-84402021-09-0179e08063Higher dimensional Bianchi type-I string cosmological model in f(R) theory of gravityAhmed M. Al-Haysah0A.H. Hasmani1Department of Mathematics, Faculty of Education and Sciences-Rada'a, Albaydha University, Albaydha, Yemen; Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar-388120, Gujarat India; Corresponding author.Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar-388120, Gujarat IndiaIn this paper, we have studied Bianchi type-I string cosmological model by combining Kaluza-Klein (KK) theory and f(R) theory of gravity which is an extension of 5-dimensional KK string cosmological models. We have used equation of state in the form of p-string or Takabayasi string given by ρ=(1+ω)λ, where ρ and λ denote the rest density of energy cloud of strings, and the tension density of the system of strings, respectively and ω is a constant. In order to get physically significant and viable solution various forms of the function f(R) are assumed, in this paper we assume f(R)=R+αR2 (e.g. Astashenok et al. (2017) [1]), where α is real number. Some physical and geometrical properties of the model are also discussed.http://www.sciencedirect.com/science/article/pii/S2405844021021666N-dimensional Kaluza-Klein cosmologyCosmic stringf(R) theory of gravity |
| spellingShingle | Ahmed M. Al-Haysah A.H. Hasmani Higher dimensional Bianchi type-I string cosmological model in f(R) theory of gravity Heliyon N-dimensional Kaluza-Klein cosmology Cosmic string f(R) theory of gravity |
| title | Higher dimensional Bianchi type-I string cosmological model in f(R) theory of gravity |
| title_full | Higher dimensional Bianchi type-I string cosmological model in f(R) theory of gravity |
| title_fullStr | Higher dimensional Bianchi type-I string cosmological model in f(R) theory of gravity |
| title_full_unstemmed | Higher dimensional Bianchi type-I string cosmological model in f(R) theory of gravity |
| title_short | Higher dimensional Bianchi type-I string cosmological model in f(R) theory of gravity |
| title_sort | higher dimensional bianchi type i string cosmological model in f r theory of gravity |
| topic | N-dimensional Kaluza-Klein cosmology Cosmic string f(R) theory of gravity |
| url | http://www.sciencedirect.com/science/article/pii/S2405844021021666 |
| work_keys_str_mv | AT ahmedmalhaysah higherdimensionalbianchitypeistringcosmologicalmodelinfrtheoryofgravity AT ahhasmani higherdimensionalbianchitypeistringcosmologicalmodelinfrtheoryofgravity |