Possible wormholes in f(R) gravity sourced by solitonic quantum wave and cold dark matter halos and their repulsive gravity effect
Abstract In this paper, we present new generalized wormhole (WH) solutions within the context of f(R) gravity. Specifically, we focus on f(R) gravitational theories formulated in the metric formalism, with our investigation centered on a power-law form represented by $$f(R) = \epsilon R^{\chi }$$ f...
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SpringerOpen
2024-09-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13224-4 |
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| author | Abdelghani Errehymy Youssef Khedif Orhan Donmez Mohammed Daoud Kairat Myrzakulov Sabit Bekov |
| author_facet | Abdelghani Errehymy Youssef Khedif Orhan Donmez Mohammed Daoud Kairat Myrzakulov Sabit Bekov |
| author_sort | Abdelghani Errehymy |
| collection | DOAJ |
| description | Abstract In this paper, we present new generalized wormhole (WH) solutions within the context of f(R) gravity. Specifically, we focus on f(R) gravitational theories formulated in the metric formalism, with our investigation centered on a power-law form represented by $$f(R) = \epsilon R^{\chi }$$ f ( R ) = ϵ R χ . Here, $$\epsilon $$ ϵ is an arbitrary constant, and $$\chi $$ χ is a real number. Notably, this form possesses the advantageous property of reducing to Einstein gravity when $$\epsilon =1$$ ϵ = 1 and $$\chi =1$$ χ = 1 . To obtain these novel WH solutions, we establish the general field equations for any f(R) theory within the framework of Morris–Thorne spacetime, assuming metric coefficients that are independent of time. By utilizing an anisotropic matter source and a specific type of energy density associated with solitonic quantum wave (SQW) and cold dark matter (CDM) halos, we calculate two distinct WH solutions. We thoroughly investigate the properties of the exotic matter (ExoM) residing within the WH geometry and analyze the matter contents through energy conditions (ECs). Both analytical and graphical methods are employed in this analysis to examine the validity of different regions. Notably, the calculated shape functions for the WH geometry satisfy the necessary conditions in both scenarios, emphasizing their reliability. Our investigations into specific parameter ranges in both scenarios revealed the presence of ExoM. This ExoM is characterized by an energy–momentum tensor that violates the null energy condition (NEC) and, consequently, the weak energy condition as well, in the vicinity of the WH throats. Furthermore, we investigated the repulsive effect of gravity and discovered that its presence results in a negative deflection angle for photons following null geodesics. Importantly, we observed that the deflection angle consistently exhibits negative values across all $$r_0$$ r 0 values in both scenarios, indicating the manifestation of the repulsive gravity effect. Finally, we compare the obtained WH solutions utilizing both distributions, as well as the f(R) power-law-like models, in order to assess the feasibility of energetic configurations for WHs within SQW and CDM systems. |
| format | Article |
| id | doaj-art-0e0be85cd0bb4f22a10c28a521346cdb |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | SpringerOpen |
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| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-0e0be85cd0bb4f22a10c28a521346cdb2024-11-17T12:45:10ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-09-0184911410.1140/epjc/s10052-024-13224-4Possible wormholes in f(R) gravity sourced by solitonic quantum wave and cold dark matter halos and their repulsive gravity effectAbdelghani Errehymy0Youssef Khedif1Orhan Donmez2Mohammed Daoud3Kairat Myrzakulov4Sabit Bekov5Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-NatalLaboratory of High Energy and Condensed Matter Physics, Department of Physics, Faculty of Sciences Aïn Chock, University Hassan IICollege of Engineering and Technology, American University of the Middle EastDepartment of Physics, Faculty of Sciences, Ibn Tofail UniversityDepartment of General and Theoretical Physics, L.N. Gumilyov Eurasian National UniversityDepartment of General and Theoretical Physics, L.N. Gumilyov Eurasian National UniversityAbstract In this paper, we present new generalized wormhole (WH) solutions within the context of f(R) gravity. Specifically, we focus on f(R) gravitational theories formulated in the metric formalism, with our investigation centered on a power-law form represented by $$f(R) = \epsilon R^{\chi }$$ f ( R ) = ϵ R χ . Here, $$\epsilon $$ ϵ is an arbitrary constant, and $$\chi $$ χ is a real number. Notably, this form possesses the advantageous property of reducing to Einstein gravity when $$\epsilon =1$$ ϵ = 1 and $$\chi =1$$ χ = 1 . To obtain these novel WH solutions, we establish the general field equations for any f(R) theory within the framework of Morris–Thorne spacetime, assuming metric coefficients that are independent of time. By utilizing an anisotropic matter source and a specific type of energy density associated with solitonic quantum wave (SQW) and cold dark matter (CDM) halos, we calculate two distinct WH solutions. We thoroughly investigate the properties of the exotic matter (ExoM) residing within the WH geometry and analyze the matter contents through energy conditions (ECs). Both analytical and graphical methods are employed in this analysis to examine the validity of different regions. Notably, the calculated shape functions for the WH geometry satisfy the necessary conditions in both scenarios, emphasizing their reliability. Our investigations into specific parameter ranges in both scenarios revealed the presence of ExoM. This ExoM is characterized by an energy–momentum tensor that violates the null energy condition (NEC) and, consequently, the weak energy condition as well, in the vicinity of the WH throats. Furthermore, we investigated the repulsive effect of gravity and discovered that its presence results in a negative deflection angle for photons following null geodesics. Importantly, we observed that the deflection angle consistently exhibits negative values across all $$r_0$$ r 0 values in both scenarios, indicating the manifestation of the repulsive gravity effect. Finally, we compare the obtained WH solutions utilizing both distributions, as well as the f(R) power-law-like models, in order to assess the feasibility of energetic configurations for WHs within SQW and CDM systems.https://doi.org/10.1140/epjc/s10052-024-13224-4 |
| spellingShingle | Abdelghani Errehymy Youssef Khedif Orhan Donmez Mohammed Daoud Kairat Myrzakulov Sabit Bekov Possible wormholes in f(R) gravity sourced by solitonic quantum wave and cold dark matter halos and their repulsive gravity effect European Physical Journal C: Particles and Fields |
| title | Possible wormholes in f(R) gravity sourced by solitonic quantum wave and cold dark matter halos and their repulsive gravity effect |
| title_full | Possible wormholes in f(R) gravity sourced by solitonic quantum wave and cold dark matter halos and their repulsive gravity effect |
| title_fullStr | Possible wormholes in f(R) gravity sourced by solitonic quantum wave and cold dark matter halos and their repulsive gravity effect |
| title_full_unstemmed | Possible wormholes in f(R) gravity sourced by solitonic quantum wave and cold dark matter halos and their repulsive gravity effect |
| title_short | Possible wormholes in f(R) gravity sourced by solitonic quantum wave and cold dark matter halos and their repulsive gravity effect |
| title_sort | possible wormholes in f r gravity sourced by solitonic quantum wave and cold dark matter halos and their repulsive gravity effect |
| url | https://doi.org/10.1140/epjc/s10052-024-13224-4 |
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