How does Coulomb's law change in 3+1 dimensional spacetime?

[jk22]

The power law of Coulomb depends on the dimension treated . It is $$1/r^{n-1} $$ where n is the dimension.

In n=3 we get the inverse square law.

How does this go into considering now spacetime 3+1 dimensional ? Would it modify the law and how ?

 

[Orodruin]

The Coulomb law is only valid for a single static charge. The static solution is three-dimensional as it does not depend on time. To deal with time changing fields you need Maxwell's equations.