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SUMMARY  The deformation at the core–mantle boundary produced by the 2004 Sumatra earthquake is investigated by means of a semi‐analytic theoretical model of global coseismic and postseismic deformation, predicting a millimetric coseismic perturbation over a large portion of the core–mantle boundary. Spectral features of such deformations are analysed and discussed. The time‐dependent postseismic evolution of the elliptical part of the gravity field ( J  2 ) is also computed for different asthenosphere viscosity models. Our results show that, for asthenospheric viscosities smaller than 10 18  Pa s, the postseismic  J  2  variation in the next years is expected to leave a detectable signal in geodetic observations.

Core–mantle boundary deformations and J 2 variations resulting from the 2004 Sumatra earthquake