Unifying non-commutative geometry with Casimir energy: A novel f(R) wormhole solution
A Casimir wormhole is a theoretical concept proposing the negative energy density, generated through the Casimir effect that could support the existence of a traversable wormhole. This article investigates the feasibility of a Casimir wormhole by unifying the Casimir effect and non-commutative geome...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-02-01
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| Series: | Nuclear Physics B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321325000045 |
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| author | N.S. Kavya C.S. Varsha L. Sudharani V. Venkatesha |
| author_facet | N.S. Kavya C.S. Varsha L. Sudharani V. Venkatesha |
| author_sort | N.S. Kavya |
| collection | DOAJ |
| description | A Casimir wormhole is a theoretical concept proposing the negative energy density, generated through the Casimir effect that could support the existence of a traversable wormhole. This article investigates the feasibility of a Casimir wormhole by unifying the Casimir effect and non-commutative geometry within the framework of f(R) gravity theory using Lorentzian distribution. In this study, we derive the shape function satisfying the throat condition and graphically verify all necessary conditions for a traversable wormhole by varying the gravitational mass μ. In addition to this we examine all the energy conditions and physical properties, to assess the wormhole's stability. |
| format | Article |
| id | doaj-art-d6b14b00a1f84f3db7ebe38d0c7de222 |
| institution | Kabale University |
| issn | 0550-3213 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj-art-d6b14b00a1f84f3db7ebe38d0c7de2222025-01-12T05:24:16ZengElsevierNuclear Physics B0550-32132025-02-011011116794Unifying non-commutative geometry with Casimir energy: A novel f(R) wormhole solutionN.S. Kavya0C.S. Varsha1L. Sudharani2V. Venkatesha3Department of P.G. Studies and Research in Mathematics, Kuvempu University, Shankaraghatta, Shivamogga 577451, Karnataka, IndiaDepartment of P.G. Studies and Research in Mathematics, Kuvempu University, Shankaraghatta, Shivamogga 577451, Karnataka, IndiaDepartment of P.G. Studies and Research in Mathematics, Kuvempu University, Shankaraghatta, Shivamogga 577451, Karnataka, IndiaCorresponding author.; Department of P.G. Studies and Research in Mathematics, Kuvempu University, Shankaraghatta, Shivamogga 577451, Karnataka, IndiaA Casimir wormhole is a theoretical concept proposing the negative energy density, generated through the Casimir effect that could support the existence of a traversable wormhole. This article investigates the feasibility of a Casimir wormhole by unifying the Casimir effect and non-commutative geometry within the framework of f(R) gravity theory using Lorentzian distribution. In this study, we derive the shape function satisfying the throat condition and graphically verify all necessary conditions for a traversable wormhole by varying the gravitational mass μ. In addition to this we examine all the energy conditions and physical properties, to assess the wormhole's stability.http://www.sciencedirect.com/science/article/pii/S0550321325000045f(R) gravityNon-commutative geometryCasimir wormholeEffective gravitational massTotal gravitational energy |
| spellingShingle | N.S. Kavya C.S. Varsha L. Sudharani V. Venkatesha Unifying non-commutative geometry with Casimir energy: A novel f(R) wormhole solution Nuclear Physics B f(R) gravity Non-commutative geometry Casimir wormhole Effective gravitational mass Total gravitational energy |
| title | Unifying non-commutative geometry with Casimir energy: A novel f(R) wormhole solution |
| title_full | Unifying non-commutative geometry with Casimir energy: A novel f(R) wormhole solution |
| title_fullStr | Unifying non-commutative geometry with Casimir energy: A novel f(R) wormhole solution |
| title_full_unstemmed | Unifying non-commutative geometry with Casimir energy: A novel f(R) wormhole solution |
| title_short | Unifying non-commutative geometry with Casimir energy: A novel f(R) wormhole solution |
| title_sort | unifying non commutative geometry with casimir energy a novel f r wormhole solution |
| topic | f(R) gravity Non-commutative geometry Casimir wormhole Effective gravitational mass Total gravitational energy |
| url | http://www.sciencedirect.com/science/article/pii/S0550321325000045 |
| work_keys_str_mv | AT nskavya unifyingnoncommutativegeometrywithcasimirenergyanovelfrwormholesolution AT csvarsha unifyingnoncommutativegeometrywithcasimirenergyanovelfrwormholesolution AT lsudharani unifyingnoncommutativegeometrywithcasimirenergyanovelfrwormholesolution AT vvenkatesha unifyingnoncommutativegeometrywithcasimirenergyanovelfrwormholesolution |