  We consider the non-linear realisation of the semi-direct product of E11 and
its vector representation which leads to a spacetime with tangent group that is
the Cartan involution invariant subalgera of E11. We give an alternative
derivation of the invariant tangent space metric that this space-time possesses
and compute this metric at low levels in eleven, five and four dimensions. We
show that one can gauge fix the non-linear realisation in an E11 invariant
manner.
