Abstract:
Earlier studies have shown that massive bulges impede bar formation in disk galaxies. Recent N-body simulations have derived a bar
formation criterion that depends on the radial bulge force in a galaxy disk. We use those simulations to show that bars can form only
when the force constant FB < 0.13, where FB depends on the ratio of the bulge force to the total force of the galaxy at twice the disk
scale length 2Rd. In this article, we test this theoretical prediction using observational data obtained from the literature. Our sample
consists of 63 barred galaxies with a wide range of Hubble classes taken from the S4G catalog; for the galaxies that we include, bulge,
disk, and bar decomposition has been carried out. We find that 92% of our sample galaxies satisfy the condition FB < 0.13 for bar
formation in galaxies and hence agree with the bar formation criterion given by the simulations.