  We study a model of fluent material universe from a modified Newtonian
cosmology proposed by D'Inverno and Tawfik. From this perspective, it shows a
list of space-time curvature k with energy E, density \rho, specific heat
$C_{p}$ and the fluid temperature gradient considered $\Delta T$ corresponding
to standard thermodynamic variables. We determined the coupling constants
accompanying the matter density for different values we can take k
