Divergence of current densities

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In which geometry of physical system the \nabla.\overline{J} ie divergence of J is zero?
How does the Maxwell equations turns out?
 
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Div J is zero in any geometry if the charge density is constant in time.
 

Thread 'Why measure the speed of light in one direction?'

It may be shown from the equations of electromagnetism, by James Clerk Maxwell in the 1860’s, that the speed of light in the vacuum of free space is related to electric permittivity (ϵ) and magnetic permeability (μ) by the equation: c=1/√( μ ϵ ) . This value is a constant for the vacuum of free space and is independent of the motion of the observer. It was this fact, in part, that led Albert Einstein to Special Relativity.
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