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We compare the results obtained from analytical perturbation theory and theAKM numerical code for an axistationary spacetime built from matching arotating perfect fluid interior with the equation of state $\epsilon-3p=4B$ ofthe simple MIT bag model and an asymptotically flat exterior. We discuss thebehaviour of the error in the metric components of the analytical approximationgoing to higher orders. Additionally, we check and comment the errors inmultipole moments, central pressure and some other physical properties of thespacetime.

Comparing results for a global metric from analytical perturbation theory and a numerical code