Magnetofluid Dynamics in curved spacetime

TL;DR

This paper develops a unified formalism for hot charged fluid dynamics in curved spacetime, incorporating non-minimal coupling to gravity, and explores vortical behavior and equilibrium states with nonlinear Ricci scalar coupling.

Contribution

It introduces a novel grand unified field tensor combining electromagnetic and flow fields with gravity, and applies it to analyze vortical dynamics and equilibrium in curved spacetime.

Findings

Derived a double Beltrami equation in curved spacetime.

Analyzed vortical dynamics of hot charged fluids.

Explored equilibrium states with Ricci scalar coupling.

Abstract

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.