State-relevant Maxwell’s equation from Kaluza-Klein theory
State-relevant Maxwell’s equation from Kaluza-Klein theory
We study a five-dimensional perfect fluid coupled with Kaluza-Klein gravity. By dimensional reduction, a modified form of Maxwell's equation is obtained, which is relevant to the equation of state of the source. Since the relativistic magnetohydrodynamics and the three-dimensional formulation are widely used to study space matter, we derive the …