Charged wormhole solutions utilizing Karmarkar condition in Ricci inverse gravity

This study aims to present the charged wormhole solutions within the framework of modified f(R,A)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f({\mathcal {R}}, {\mathcal {A}})$$\end{document} gravity, where R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {R}}$$\end{document} is the Ricci scalar and A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {A}}$$\end{document} is the anti-curvature scalar. The proposed gravity is characterized by applying a linear model f(R,A)=R+alpha A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f({\mathcal {R}}, {\mathcal {A}})={\mathcal {R}}+\alpha {\mathcal {A}}$$\end{document}, where alpha\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document} is the coupling parameter, and taking into account the charged anisotropic matter composition. The Karmarkar condition serves as a pivotal tool in our investigation, allowing us to precisely establish the wormhole shape function, which dictates the structure of charged wormholes. This wormhole shape function fulfills all the necessary criteria for wormhole solutions. The physical features such as energy density, pressure components, and energy conditions are calculated and represented graphically using a specific type of charge distribution. The analysis of computed wormhole shape function through graphical representation, utilizing suitable parameter values, illustrates the breach of energy conditions, signifying the existence of a wormhole. The presented charged wormhole solutions in this work not only illustrate the violation of energy conditions but also open up discussions on the unusual characteristics of spacetime. Moreover, utilizing the equilibrium condition, the wormhole stability is evaluated in the presence of a charged electric force. Overall, we can deduce that our findings fulfill all the criteria for the existence of a wormhole, affirming the validity and consistency of our study.