  Two-dimensional scalar field theories with spontaneous symmetry breaking
subject to the action of Jackiw-Teitelboim gravity are studied. Solutions for
the $\phi^4$ and sine-Gordon self-gravitating kinks are presented, both for
general gravitational coupling and in the perturbative regime. The analysis is
extended to deal with a hierarchy of kinks related to transparent
P\"{o}schl-Teller potentials
