  We construct "soft-collinear gravity", the effective field theory which
describes the interaction of collinear and soft gravitons with matter (and
themselves), to all orders in the soft-collinear power expansion. Despite the
absence of collinear divergences in gravity at leading power, the construction
exhibits remarkable similarities with soft-collinear effective theory of QCD
(gauge fields). It reveals an emergent soft background gauge symmetry, which
allows for a manifestly gauge-invariant representation of the interactions in
terms of a soft covariant derivative, the soft Riemann tensor, and a covariant
generalisation of the collinear light-cone gauge metric field. The gauge
symmetries control both the unsuppressed collinear field components and the
inherent inhomogeneity in $\lambda$ of the invariant objects to all orders,
resulting in a consistent expansion.
