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Chapter |
Similar
to the electric field, the Gauss Law of Magnetic Field has defined the
relationship between magnetic charge and magnetic field. The Gauss Law of
Magnetic Field is:
(5.1)
In
which 
is the magnetic field
strength, 
is the magnetic
charge density.
Combine
the Gauss Law of Magnetic Field (5.1) and magnetic charge density distribution
equation (3.1), and we get the follows magnetic field strength solution:
(5.2)
We will prove that the above equation (5.2) satisfies the
Gauss Law of Magnetic Field.
As we know the gradient 
in spherical coordinate is:
From
equation (5.2), thus:
(5.3)
Therefore,
(5.4)
Thus:
(5.5)
Combine equation
(3.1) and (5.5), then we get:
Thus
we have proved that the magnetic field solution equation (5.2)
satisfied the Gauss Law of Magnetic Field.
Reference
The magnetic dipole interaction in Einstein-Maxwell theory
W.B.Bonnor
Class.Quant.Grav. 19 (2002) 149-153
Interaction
between a stationary electric charge and a stationary magnetic dipole
W.B.Bonnor
Class.Quant.Grav. 18 (2001) 2853
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