  By using of the Euler-Lagrange equations, we find a static spherically
symmetric solution in the Einstein-aether theory with the coupling constants
restricted. The solution is similar to the Reissner-Nordstrom solution in that
it has an inner Cauchy horizon and an outer black hole event horizon. But a
remarkable difference from the Reissner-Nordstrom solution is that it is not
asymptotically flat but approaches a two dimensional sphere. The resulting
electric potential is regular in the whole spacetime except for the curvature
singularity. On the other hand, the magnetic potential is divergent on both
Cauchy horizon and the outer event horizon.
