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We investigate seed magnetic field generation in the early universe byradiation force of first stars. In the previous study with steady assumption,large amplitudes(10^{-15} G for first stars, 10^{-11}G for QSOs) are predicted.In this study, we formulate this issue in unsteady framework. Then, we considera specific model of magnetic field generation around a very massive first star.Consequently, 1) we find steady assumption is not valid in realistic situation,and 2) obtain much smaller magnetic field strength than predicted by Langer etal. (2003). In addition, we find momentum transfer process duringphotoionization is more important than Thomson scattering. The resultantmagnetic flux density around the first star is < 10^{-19}G. These seed magneticfield will not affect subsequent star formation in the neighbor of first stars.

Generation of Seed Magnetic Field around First Stars:Effects of Radiation Force