  Starting from the basic prescriptions of the Tsallis' nonextensive
thermostatistics, i.e. generalized entropy and normalized q-expectation values,
we study the relativistic nonextensive thermodynamics and derive a Boltzmann
transport equation that implies the validity of the H-theorem where a local
nonextensive four-entropy density is considered. Macroscopic thermodynamic
functions and the equation of state for a perfect gas are derived at the
equilibrium.
