  Recently, a novel relativistic polyatomic BGK model was suggested by Pennisi
and Ruggeri [J. of Phys. Conf. Series, 1035, (2018)] to overcome drawbacks of
the Anderson-Witting model and Marle model.In this paper, we prove the unique
existence and asymptotic behavior of classical solutions to the relativistic
polyatomic BGK model when the initial data is sufficiently close to a global
equilibrium.
