  We present the complete set of constitutive relations and field equations for
the linear thermoelastic relaxed micromorphic continuum and investigate its
variants for wave propagation. It is found that the additional thermal effects
give rise to new waves and generate couplings with longitudinal waves which are
not existing in the relaxed micromorphic continuum without thermal effects.
However, transverse waves go un-affected by the thermal properties. The
dispersion curves have been computed numerically for a particular model and
comparison is made with the result obtained previously.
