Anisotropic compact stars in $f(\mathcal {R}$, $\mathcal {A})$ gravity including charge with exterior Reissner-Nordstrom spacetime

Abstract

The aim of this manuscript is to investigate the charged anisotropic compact stars in $f(\mathcal {R},\mathcal {A})$ theory of gravity, namely Ricci-Inverse gravity. By employing the Karmarkar condition, we construct relativistic anisotropic static spherically symmetric solutions using a particular Adler model for the $g_{tt}$ metric potential (1974). The exterior geometry is derived following the Reissner-Nordstrom spacetime. A series of physical analysis, including energy density, pressure elements, and energy conditions, anisotropy, as well as mass-radius relation, compactness and redshift activity, are conducted to assess the viability of the Ricci-Inverse gravity model. Our paper discuss the effectiveness of the $f(\mathcal {R},\mathcal {A})$ gravity model in describing charged anisotropic compact stars provides significant support for massive stars and proves to be suitable for our chosen model.

Appendix

 

$$\begin{aligned} \xi _{1}= & {} -\frac{e^{-\lambda }}{2}(2\nu ''+\frac{2\nu '}{r}+\nu '^{2}-\nu '\lambda '-\frac{2\lambda '}{r})+\frac{2}{r^{2}}(1-e^{-\lambda }+re^{-\lambda }(-\frac{\nu '}{2}+\frac{\lambda '}{2})).\\ \xi _{2}= & {} \frac{e^{-(\nu +\lambda )}}{2}(\nu ''+\frac{2\nu '}{r}+\frac{\nu '^{2}}{2}-\frac{\nu '\lambda '}{2}). \\ \xi _{3}= & {} \frac{e^{-2\lambda }}{2}(-\nu ''-\frac{\nu '^{2}}{2}+\frac{\nu '\lambda '}{2}+\frac{2\lambda '}{r}). \\ \xi _{4}= & {} \frac{1}{r^{4}}(1-e^{-\lambda }+re^{-\lambda }(-\frac{\nu '}{2}+\frac{\lambda '}{2})). \\ \xi _{5}= & {} \!4re^{\lambda }[(\frac{-1}{2r\nu ''\!+\!4\nu '\!+\!r\nu '^{2}\!-\!r\nu '\lambda '})\!+\!(\frac{1}{-2r\nu ''+4\lambda '-r\nu '^{2}+r\nu '\lambda '})]\!+\!\frac{4r^{2}}{2-2e^{-\lambda }+re^{-\lambda }(\lambda '-\nu ')}.\\ \xi _{6}= & {} \frac{4re^{\lambda -\nu }}{2r\nu ''+r\nu '^{2}+4\nu '-r\nu '\lambda '}. \\ \xi _{7}= & {} \frac{4r}{-2r\nu ''-r\nu '^{2}+r\nu '\lambda '+4\lambda '}. \\ \xi _{8}= & {} \frac{2}{2-2e^{-\lambda }+re^{-\lambda }(\lambda '-\nu ')}. \\ \xi _{9}= & {} (\frac{4re^{\lambda -\nu }}{2r\nu ''+r\nu '^{2}+4\nu '-r\nu '\lambda '})(\frac{-4re^{\lambda }}{2r\nu ''+r\nu '^{2}+4\nu '-r\nu '\lambda '}).\\ \xi _{10}= & {} (\frac{4r}{-2r\nu ''-r\nu '^{2}+r\nu '\lambda '+4\lambda '})(\frac{4re^{\lambda }}{-2r\nu ''-r\nu '^{2}+r\nu '\lambda '+4\lambda '}). \\ \xi _{11}= & {} (\frac{2}{2-2e^{-\lambda }+re^{-\lambda }(\lambda '-\nu ')})(\frac{2r^{2}}{2-2e^{-\lambda }+re^{-\lambda }(\lambda '-\nu ')}). \\ \end{aligned}$$