  We study space-time filling unstable D-brane coupled to gravity. We find
Hamiltonian for this D-brane and then we implement Brown-Kuchar formalism for
this system. We calculate algebra of constraints of deparametrized theory and
we show that for large $T$ the Poisson brackets between new constraints are
zero. Then we define gauge invariant functions on phase space following
deparametrization construction introduced in [9].
