Analyzing the impact of Gauss–Bonnet corrections on structure scalars admitting the zero complexity condition
Abstract In this paper, we evaluate the complexity of the anisotropic static cylindrical geometry in the framework of $$f(\mathcal {G})$$ f ( G ) gravity, where $$\mathcal {G}$$ G represents the Gauss–Bonnet term. In this perspective, we calculate modified field equations, the C energy formula, the...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-02-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-13899-3 |
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| author | M. M. M. Nasir M. Zeeshan Gul Orhan Donmez Faisal Javed Bander Almutairi |
| author_facet | M. M. M. Nasir M. Zeeshan Gul Orhan Donmez Faisal Javed Bander Almutairi |
| author_sort | M. M. M. Nasir |
| collection | DOAJ |
| description | Abstract In this paper, we evaluate the complexity of the anisotropic static cylindrical geometry in the framework of $$f(\mathcal {G})$$ f ( G ) gravity, where $$\mathcal {G}$$ G represents the Gauss–Bonnet term. In this perspective, we calculate modified field equations, the C energy formula, the Tolman–Oppenheimer–Volkoff equation, and the mass function that help to understand the astrophysical structures in $$f(\mathcal {G})$$ f ( G ) gravity. Furthermore, we used the Weyl tensor and obtained different structure scalars by orthogonally splitting the Riemann tensor. One of these scalars, $$Y_{TF}$$ Y TF , is referred to as the complexity factor. This parameter measures system complexity due to non-uniform energy density and non-isotropic pressure. Using the constraint of the variable of vanishing complexity, time-independent solutions are derived for the Gokhroo–Mehra model. It is found that the presence of corrective terms reduce the complexity of the system. |
| format | Article |
| id | doaj-art-0c52628f9af7437db3ccfb415fb5850b |
| institution | OA Journals |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-0c52628f9af7437db3ccfb415fb5850b2025-08-20T02:13:07ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-02-018521910.1140/epjc/s10052-025-13899-3Analyzing the impact of Gauss–Bonnet corrections on structure scalars admitting the zero complexity conditionM. M. M. Nasir0M. Zeeshan Gul1Orhan Donmez2Faisal Javed3Bander Almutairi4Department of Mathematics, University of Management and TechnologyDepartment of Mathematics and Statistics, The University of LahoreCollege of Engineering and Technology, American University of the Middle EastDepartment of Physics, Zhejiang Normal UniversityDepartment of Mathematics, College of Science, King Saud UniversityAbstract In this paper, we evaluate the complexity of the anisotropic static cylindrical geometry in the framework of $$f(\mathcal {G})$$ f ( G ) gravity, where $$\mathcal {G}$$ G represents the Gauss–Bonnet term. In this perspective, we calculate modified field equations, the C energy formula, the Tolman–Oppenheimer–Volkoff equation, and the mass function that help to understand the astrophysical structures in $$f(\mathcal {G})$$ f ( G ) gravity. Furthermore, we used the Weyl tensor and obtained different structure scalars by orthogonally splitting the Riemann tensor. One of these scalars, $$Y_{TF}$$ Y TF , is referred to as the complexity factor. This parameter measures system complexity due to non-uniform energy density and non-isotropic pressure. Using the constraint of the variable of vanishing complexity, time-independent solutions are derived for the Gokhroo–Mehra model. It is found that the presence of corrective terms reduce the complexity of the system.https://doi.org/10.1140/epjc/s10052-025-13899-3 |
| spellingShingle | M. M. M. Nasir M. Zeeshan Gul Orhan Donmez Faisal Javed Bander Almutairi Analyzing the impact of Gauss–Bonnet corrections on structure scalars admitting the zero complexity condition European Physical Journal C: Particles and Fields |
| title | Analyzing the impact of Gauss–Bonnet corrections on structure scalars admitting the zero complexity condition |
| title_full | Analyzing the impact of Gauss–Bonnet corrections on structure scalars admitting the zero complexity condition |
| title_fullStr | Analyzing the impact of Gauss–Bonnet corrections on structure scalars admitting the zero complexity condition |
| title_full_unstemmed | Analyzing the impact of Gauss–Bonnet corrections on structure scalars admitting the zero complexity condition |
| title_short | Analyzing the impact of Gauss–Bonnet corrections on structure scalars admitting the zero complexity condition |
| title_sort | analyzing the impact of gauss bonnet corrections on structure scalars admitting the zero complexity condition |
| url | https://doi.org/10.1140/epjc/s10052-025-13899-3 |
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