It states that any spherically symmetric solution of the source-free Maxwell equations is necessarily static.

Other spherically and cylindrically symmetric analytic solutions to the electromagnetic wave equations are also possible.

Several spherically symmetric solutions to æ-theory have been found.

The SR1 formula computes (via an update of rank 1) the symmetric solution that is closest to the current approximate-value :

Note that the lowest energy corresponds to the symmetric solution .

In general relativity, Birkhoff's theorem states that any spherically symmetric solution of the vacuum field equations must be static and asymptotically flat.

In 1923, Birkhoff also proved that the Schwarzschild geometry is the unique spherically symmetric solution of the Einstein field equations.

The metric of any spherically symmetric solution in Schwarzschild form is:

We can superpose the symmetric and antisymmetric solutions to get more general solutions.

It may also converge towards a symmetric solution.