Dynamical Analysis of a Charged Spherical Star in $$\boldsymbol{R-}\boldsymbol{\beta}\boldsymbol{R}_{\boldsymbol{c}}\mathbf{tanh}\boldsymbol{(R/R_{c})+}\boldsymbol{\xi}\boldsymbol{RT}$$ Gravity

We illustrate the dynamical instability of charged spherical fluid configuration with anisotropic conditions in nonminimally coupled $$f(R,T)$$ theory of gravitation, where $$R$$ is the Ricci scalar and $$T$$ is the trace of the energy momentum-tensor. We investigate both modified field equations and continuity equations to provide some extra degrees of freedom under the constraints of a specific considered form of $$f(R,T)$$ gravity. We examine how small changes in geometric and material profiles affect the fluid’s collapsing structure via a perturbation scheme. We study the unstable eras using Newtonian ( $$\mathbb{N}$$ ) and post-Newtonian (pN) approximations by applying some significant constraints on the collapse equation. Our findings demonstrate that the stiffness parameter $$\Gamma$$ has a substantial influence on the identification of unstable phases for our charged stellar geometry. We conclude that some correction terms that are dark source terms, which appear due to $$f(R,T)$$ gravity, lead to an unstable structure/phase throughout the evolutionary process.

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