Purpose The purpose is to obtain precise expressions of physical felds using the appropriate non-dimensional variables and normal mode analysis. Methods Based on the Lord–Shulman (L-S) theory and taking into account gravitational infuences as well as temperaturedependent features, the fundamental equations for a nonlocal thermoelastic solid are developed. Results When a nonlocal thermoelastic media is swapped out for a thermoelastic one, this approach still holds true. Comparisons are done between the outcomes obtained and those expected for various nonlocal parameter values and for an empirical material constant. Additionally, comparisons are done between the outcomes for various gravity feld values. Conclusion The nonlocal parameter plays a big part in how the physical felds are distributed. The distributions of the physical felds are signifcantly infuenced by the gravity feld.