New static axisymmetric solution of the Einstein field equations

A new exact asymptotically flat solution of the Einstein equations able to describe the exterior gravitational field of a static mass possessing a quadrupole moment is presented in explicit form. In contrast with the known solutions of this type earlier obtained by Erez and Rosen(1959) and Gutsunaev and Manko(1985), this solution represents a small deformation of the Schwarzschild solution.

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