Motivated by the relative lack of neutral hydrogen around Lyman Break Galaxies deduced from recent observations, we investigate the properties of the Lyalpha forest around high redshift galaxies. The study is based on improved numerical SPH simulations implementing, in addition to standard processes, a new scheme for multiphase and outflow physics description. Although on large scales our simulations reproduce a number of statistical properties of the IGM (because of the small filling factor of shock-heated gas), they underpredict the Lyalpha optical depth decrease inside 1 Mpc/h of the galaxies by a factor of ~2. We interpret this result as due to the combined effect of infall occurring along the filaments, which prevents efficient halo gas clearing by the outflow, and the insufficient increase of (collisional) hydrogen ionization produced by the temperature increase inside the hot, outflow-carved bubble. Unless an observational selection bias is present, we speculate that local photoionization could be the only viable explanation to solve the puzzle.
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