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Applying the method of conformal metric to a given static axially symmetricvacuum solution of the Einstein equations, we have shown that there is nosolution representing a cosmic ideal fluid which is asymtotically FLRW. Lettingthe cosmic fluid to be imperfect there are axially symmetric solutions tendingto FLRW at space infinity. The solution we have found represents an axiallysymmetric spacetime leading to a spherically symmetric Einstein tensor.Therefore, we have found a solution of Einstein equations representing aspherically symmetric matter distribution corresponding to a spacetime whichdoes not reflect the same symmetry. We have also found another solution ofEinstein equation corresponding to the same energy tensor with sphericalsymmetry.

The symmetry of the energy momentum tensor does not necessarily reflect the space-time symmetry: a viscous axially symmetric cosmological solution