Bose-Einstein Condensation in the Relativistic Ideal Bose Gas

The Bose-Einstein condensation (BEC) critical temperature in a relativistic ideal Bose gas of identical bosons, with and without the antibosons expected to be pair-produced abundantly at sufficiently hot temperatures, is exactly calculated for all boson number-densities, all boson point rest masses, and all temperatures. The Helmholtz free energy at the critical BEC temperature is found to be lower, thus implying that the omission of antibosons always leads to the computation of a metastable state.