  The thermodynamical properties of a neutral vector boson gas in a constant
magnetic field are studied starting from the spectrum given by Proca formalism.
Bose Einstein Condensation (BEC) and magnetization are obtained, for the three
and one dimensional cases, in the limit of low temperatures. In three
dimensions the gas undergoes a phase transition to an usual BEC in which the
critical temperature depends on the magnetic field. In one dimension a diffuse
condensate appears as for the charged vector boson gas. In both cases, the
condensation is reached not only by decreasing the temperature but also by
increasing the magnetic field. In three and one dimensions self-magnetization
is possible. The anisotropy in the pressures due to axial symmetry imposed to
the system by the magnetic field is also discussed. The astrophysical
implications are commented.
