Effects of a gravitomagnetic field on pure superconductors

We report the results of an investigation of the effects of a pure superconductor on external gravitomagnetic and magnetic fields B_g,0 and B₀, respectively. We find that the internal fields are given by B(z)~=-(m²μ_g/q²μ)B₀-(m/q)B_g,0, B_g(z)~=B_g,0+(μ_gm/qμ)B₀, where μ_g and μ are the gravitomagnetic and magnetic permeabilities of the superconductor. These results show that a small residual uniform magnetic field will pervade the superconductor and that the external fields mutually ``induce'' additional small internal perturbation fields. The sum of the fields B+(m/q)B_g falls exponentially to zero over a characteristic distance λ, which is consistent with previous findings that B+(m/q)B_g=0 inside a pure superconductor.