In this paper, we discuss the effect of a Hall current and gravitational field on a magneto-thermoelastic half-space medium under Green- Naghdi theory with energy dissipation. A perpendicular strong magnetic field acts upon medium and the induced electric field is neglected. The analytical solution of this problem is obtained by using the normal mode analysis method to write expressions for displacements, temperatures, stresses and the conduction current components. Some comparisons are carried out to view the effect of Hall current and the gravity on the field variables. Numerical results are graphed to show the effect of gravity and Hall current.

thermoelasticity, Hall current, normal mode method, magnetic field, energy dissipation.