F(R)$f(R)$ Wormholes Embedded in a Pseudo–Euclidean Space E5. Issue 6 (20th May 2022)

• Record Type: Journal Article
• Authors: Agrawal, A. S.; Mishra, B.; Tello‐Ortiz, Francisco; Alvarez, A.
• Is Part Of: Fortschritte der Physik. Volume 70:Issue 6(2022)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2022-05-20
• Subjects: class I methodology -- modified gravity theory -- wormholes; Physics -- Periodicals; 530.05
• DOI: 10.1002/prop.202100177
• Languages: English
• ISSNs: 0015-8208

Abstract

Abstract: This work is devoted to the study of analytic wormhole solutions within the framework of f ( R ) $f(R)$ gravity theory. To check the possibility of having wormhole structures satisfying energy conditions, by means of the class I approach the pair { Φ ( r ), b ( r ) } $\lbrace \Phi (r), b(r)\rbrace$ describing the wormhole geometry has been obtained. Then, in conjunction with a remarkably f ( R ) $f(R)$ gravity model, the satisfaction of the null and weak energy conditions at the wormhole throat and its neighborhood is investigated. To do so, some constant parameters have been bounded restricting the space parameter. In this concern, the f ( R ) $f(R)$ gravity model and its derivatives are playing a major role, specially in considering the violation of the non–existence theorem. Furthermore, the shape function should be bounded from above by the Gronwall–Bellman shape function, where the red–shift function plays a relevant role. By analyzing the main properties at the spatial stations and tidal accelerations at the wormhole throat, possibilities and conditions for human travel are explored. Abstract : This work is devoted to the study of analytic wormhole solutions within the framework of f(R) gravity theory. To check the possibility of having wormhole structures satisfying the energy conditions, by means of the class I approach the pair { Φ ( r ), b ( r ) } $\lbrace \Phi (r), b(r)\rbrace$ describing the wormhole geometry has been obtained. Then, in conjunction with a remarkably f(R) gravity model, the satisfaction of the null and weak energy conditions at the wormhole throat and its neighborhood is investigated. To do so, some constant parameters have been bounded restricting the space parameter. In this concern, the f(R) gravity model and its derivatives are playing a major role, specially in considering the violation of the non‐existence theorem. Furthermore, the shape function should be bounded from above by the Gronwall‐Bellman shape function, where the red‐shift function plays a relevant role. By analyzing the main properties at the spatial stations and tidal accelerations at the wormhole throat, possibilities and conditions for human travel are explored.