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We consider the non-linear realisation of the semi-direct product of E11 andits vector representation which leads to a spacetime with tangent group that isthe Cartan involution invariant subalgera of E11. We give an alternativederivation of the invariant tangent space metric that this space-time possessesand compute this metric at low levels in eleven, five and four dimensions. Weshow that one can gauge fix the non-linear realisation in an E11 invariantmanner.

An E11 invariant gauge fixing