Instability of Meridional Axial System in f(R) Gravity
Abstract
We analyze dynamical instability of non-static reflection axial stellar structure by taking into account generalized Euler's equation in metric f(R) gravity. Such an equation is obtained by contracting Bianchi identities of usual anisotropic and effective stress-energy tensors, which after using radial perturbation technique gives modified collapse equation. In the realm of R+ε Rn gravity model, we investigate instability constraints at Newtonian and post-Newtonian approximations. We find that instability of meridional axial self-gravitating system depends upon static profile of structure coefficients while f(R) extra curvature terms induce stability to the evolving celestial body.
0