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Within 5-10 years, very long baseline interferometry facilities will be ableto observe the "shadow" of super-massive black hole candidates. This willallow, for the first time, to test gravity in the strong field regime. In thispaper, we study numerically the photon orbits in the $\delta = 2$Tomimatsu-Sato space-time. The $\delta = 2$ Tomimatsu-Sato space-time is astationary, axisymmetric, and asymptotically flat exact solution of the vacuumEinstein equations. We compare the associated shadow with the one of Kerr blackholes. The shape of the shadow in the $\delta = 2$ Tomimatsu-Sato space-time isoblate and the difference between the two axes can be as high as 6% when viewedon the equatorial plane. We argue that future space sub-mm interferometers(e.g. VSOP-3) may distinguish the two cases, and thus are able to test theCosmic Censorship Conjecture.

Shape and position of the shadow in the $\delta = 2$ Tomimatsu-Sato space-time