  A grand unified field $\mathcal{M}^{\mu\nu}$ is constructed from Maxwell's
Field tensor and appropriately modified flow field, both non-minimally coupled
to gravity, to analyze the dynamics of hot charged fluids in curved background
space-time. With a suitable $3+1$ decomposition, this new formalism of the hot
fluid is then applied to investigate the vortical dynamics of the system.
Finally, the equilibrium state for plasma with non-linear coupling through
Ricci scalar $R$ to gravity is investigated to derive a double Beltrami
equation in curved space-time.
