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Cosmic expansion is expected to influence on the size of black hole shadowobserved by comoving observer. Except the simplest case of Schwarzschild blackhole in de Sitter universe, analytical approach for calculation of shadow sizein expanding universe is still not developed. In this paper we presentapproximate method based on using angular size redshift relation. This approachis appropriate for general case of any multicomponent universe (with matter,radiation and dark energy). In particular, we have shown that supermassiveblack holes at large cosmological distances in the universe with matter maygive a shadow size approaching to the shadow size of the black hole in thecenter of our galaxy, and present sensitivity limits.

Shadow of a black hole at cosmological distance