%0 Journal Article %T Magnetized Bianchi Type $VI_{0}$ Barotropic Massive String Universe with Decaying Vacuum Energy Density $ĻĢ$ %A Anirudh Pradhan %A Raj Bali %J Physics %D 2008 %I arXiv %R 10.1007/s10773-008-9918-4 %X Bianchi type $VI_{0}$ massive string cosmological models using the technique given by Letelier (1983) with magnetic field are investigated. To get the deterministic models, we assume that the expansion ($\theta$) in the model is proportional to the shear ($\sigma$) and also the fluid obeys the barotropic equation of state. It was found that vacuum energy density $\Lambda \propto \frac{1}{t^{2}}$ which matches with natural units. The behaviour of the models from physical and geometrical aspects in presence and absence of magnetic field is also discussed. %U http://arxiv.org/abs/0805.3469v1