Wormhole geometries in f(Q) gravity and the energy conditions
Abstract Following the recent theory of f(Q) gravity, we continue to investigate the possible existence of wormhole geometries, where Q is the non-metricity scalar. Recently, the non-metricity scalar and the corresponding field equations have been studied for some spherically symmetric configuration...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-11-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-021-09854-7 |
| _version_ | 1819126994987646976 |
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| author | Ayan Banerjee Anirudh Pradhan Takol Tangphati Farook Rahaman |
| author_facet | Ayan Banerjee Anirudh Pradhan Takol Tangphati Farook Rahaman |
| author_sort | Ayan Banerjee |
| collection | DOAJ |
| description | Abstract Following the recent theory of f(Q) gravity, we continue to investigate the possible existence of wormhole geometries, where Q is the non-metricity scalar. Recently, the non-metricity scalar and the corresponding field equations have been studied for some spherically symmetric configurations in Mustafa (Phys Lett B 821:136612, 2021) and Lin and Zhai (Phys Rev D 103:124001, 2021). One can note that field equations are different in these two studies. Following Lin and Zhai (2021), we systematically study the field equations for wormhole solutions and found the violation of null energy conditions in the throat neighborhood. More specifically, considering specific choices for the f(Q) form and for constant redshift with different shape functions, we present a class of solutions for static and spherically symmetric wormholes. Our survey indicates that wormhole solutions could not exist for specific form function $$f(Q)= Q+ \alpha Q^2$$ f ( Q ) = Q + α Q 2 . To summarize, exact wormhole models can be constructed with violation of the null energy condition throughout the spacetime while being $$\rho \ge 0$$ ρ ≥ 0 and vice versa. |
| first_indexed | 2024-12-22T08:04:53Z |
| format | Article |
| id | doaj.art-b3a44b2891b6491ea7f015e2f9988e4b |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-22T08:04:53Z |
| publishDate | 2021-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-b3a44b2891b6491ea7f015e2f9988e4b2022-12-21T18:33:10ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-11-0181111710.1140/epjc/s10052-021-09854-7Wormhole geometries in f(Q) gravity and the energy conditionsAyan Banerjee0Anirudh Pradhan1Takol Tangphati2Farook Rahaman3Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-NatalDepartment of Mathematics, Institute of Applied Sciences and Humanities, GLA UniversityDepartment of Physics, Faculty of Science, Chulalongkorn UniversityDepartment of Mathematics, Jadavpur UniversityAbstract Following the recent theory of f(Q) gravity, we continue to investigate the possible existence of wormhole geometries, where Q is the non-metricity scalar. Recently, the non-metricity scalar and the corresponding field equations have been studied for some spherically symmetric configurations in Mustafa (Phys Lett B 821:136612, 2021) and Lin and Zhai (Phys Rev D 103:124001, 2021). One can note that field equations are different in these two studies. Following Lin and Zhai (2021), we systematically study the field equations for wormhole solutions and found the violation of null energy conditions in the throat neighborhood. More specifically, considering specific choices for the f(Q) form and for constant redshift with different shape functions, we present a class of solutions for static and spherically symmetric wormholes. Our survey indicates that wormhole solutions could not exist for specific form function $$f(Q)= Q+ \alpha Q^2$$ f ( Q ) = Q + α Q 2 . To summarize, exact wormhole models can be constructed with violation of the null energy condition throughout the spacetime while being $$\rho \ge 0$$ ρ ≥ 0 and vice versa.https://doi.org/10.1140/epjc/s10052-021-09854-7 |
| spellingShingle | Ayan Banerjee Anirudh Pradhan Takol Tangphati Farook Rahaman Wormhole geometries in f(Q) gravity and the energy conditions European Physical Journal C: Particles and Fields |
| title | Wormhole geometries in f(Q) gravity and the energy conditions |
| title_full | Wormhole geometries in f(Q) gravity and the energy conditions |
| title_fullStr | Wormhole geometries in f(Q) gravity and the energy conditions |
| title_full_unstemmed | Wormhole geometries in f(Q) gravity and the energy conditions |
| title_short | Wormhole geometries in f(Q) gravity and the energy conditions |
| title_sort | wormhole geometries in f q gravity and the energy conditions |
| url | https://doi.org/10.1140/epjc/s10052-021-09854-7 |
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