Complexity factor for anisotropic source in non-minimal coupling metric f(R) gravity
Abstract In this outline we recognize the idea of complexity factor for static anisotropic self-gravitating source with generalized f(R) metric gravity theory. In present consideration, we express the Einstein field equations, hydrostatic equilibrium equation, the mass function and physical behavior...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-11-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-6430-8 |
| _version_ | 1828412234068393984 |
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| author | G. Abbas H. Nazar |
| author_facet | G. Abbas H. Nazar |
| author_sort | G. Abbas |
| collection | DOAJ |
| description | Abstract In this outline we recognize the idea of complexity factor for static anisotropic self-gravitating source with generalized f(R) metric gravity theory. In present consideration, we express the Einstein field equations, hydrostatic equilibrium equation, the mass function and physical behavior of f(R) model by using some observational data of well known compact stars like $$4U~1820-30, SAX~J1808.4-3658$$ 4U1820-30,SAXJ1808.4-3658 and $$Her~X-1$$ HerX-1 . We define the scalar functions through the orthogonal splitting of the Reimann-Christofell tensor and then find the vanishing complexity condition for self-gravitating system with the help of these scalars. It has been found that the vanishing condition for the complexity are pressure anisotropy and energy density inhomogeneity must cancel each other. Moreover, we study the momentous results of an astral object for the vanishing of complexity factor. Finally, these solutions reduced to previous investigation about complexity factor in General Relativity by taking $$\lambda =0$$ λ=0 . |
| first_indexed | 2024-12-10T12:45:21Z |
| format | Article |
| id | doaj.art-4610afdb08c04187a0a46e07e83b20f8 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-10T12:45:21Z |
| publishDate | 2018-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-4610afdb08c04187a0a46e07e83b20f82022-12-22T01:48:24ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-11-01781111210.1140/epjc/s10052-018-6430-8Complexity factor for anisotropic source in non-minimal coupling metric f(R) gravityG. Abbas0H. Nazar1Department of Mathematics, The Islamia University of BahawalpurDepartment of Mathematics, The Islamia University of BahawalpurAbstract In this outline we recognize the idea of complexity factor for static anisotropic self-gravitating source with generalized f(R) metric gravity theory. In present consideration, we express the Einstein field equations, hydrostatic equilibrium equation, the mass function and physical behavior of f(R) model by using some observational data of well known compact stars like $$4U~1820-30, SAX~J1808.4-3658$$ 4U1820-30,SAXJ1808.4-3658 and $$Her~X-1$$ HerX-1 . We define the scalar functions through the orthogonal splitting of the Reimann-Christofell tensor and then find the vanishing complexity condition for self-gravitating system with the help of these scalars. It has been found that the vanishing condition for the complexity are pressure anisotropy and energy density inhomogeneity must cancel each other. Moreover, we study the momentous results of an astral object for the vanishing of complexity factor. Finally, these solutions reduced to previous investigation about complexity factor in General Relativity by taking $$\lambda =0$$ λ=0 .http://link.springer.com/article/10.1140/epjc/s10052-018-6430-8 |
| spellingShingle | G. Abbas H. Nazar Complexity factor for anisotropic source in non-minimal coupling metric f(R) gravity European Physical Journal C: Particles and Fields |
| title | Complexity factor for anisotropic source in non-minimal coupling metric f(R) gravity |
| title_full | Complexity factor for anisotropic source in non-minimal coupling metric f(R) gravity |
| title_fullStr | Complexity factor for anisotropic source in non-minimal coupling metric f(R) gravity |
| title_full_unstemmed | Complexity factor for anisotropic source in non-minimal coupling metric f(R) gravity |
| title_short | Complexity factor for anisotropic source in non-minimal coupling metric f(R) gravity |
| title_sort | complexity factor for anisotropic source in non minimal coupling metric f r gravity |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-6430-8 |
| work_keys_str_mv | AT gabbas complexityfactorforanisotropicsourceinnonminimalcouplingmetricfrgravity AT hnazar complexityfactorforanisotropicsourceinnonminimalcouplingmetricfrgravity |