The article is concerned with the deformation of an infinite microstretch generalized ther- moelastic medium rotating with some angular frequency. Initially the medium is stressed with some hydrostatic forces and is also considered under the effects of initially applied magnetic and gravitational field. The theory proposed by Green–Naghdi is selected to ana- lyze the heat wave conduction through the medium. An analytical technique of the Eigen value expansion method is adopted to get the analytic solution for waves propagating through the medium. The theoretical results obtained are further converted to graphical for a particular medium. Graphically, we presented the influence of each mechanical force on the amplitude of waves propagating through elastic media. The comparison is also made between the theories used.