Dynamic and thermodynamic stability of charged perfect fluid stars

We perform a thorough analysis of the dynamic and thermodynamic stability for charged perfect fluid star by applying Wald formalism to Lagrangian formulation Einstein-Maxwell-charged system. As result, we find that neither presence additional electromagnetic field nor Lorentz force experienced makes any obstruction key steps towards previous results obtained neutral star. Therefore, criterion our in equilibrium within symplectic complement trivial perturbaions with ADM $3$-momentum unchanged is given non-negativity canonical energy associated timelike Killing field, where it further shown both non-axisymmetric axisymmetric perturbations against these restricted also implies more generic perturbations. On other hand, necessary condition positivity all linear on-shell angular momentum comoving frame, which equivalent when onto by-product, establish equivalence respect spherically symmetric static, isentropic