  We present a new family of solutions for the Jackiw-Teitelboim model of
two-dimensional gravity with a negative cosmological constant. Here, a metric
of constant Ricci scalar curvature is constructed, and explicit linearly
independent solutions of the corresponding dilaton field equations are
determined. The metric is transformed to a black hole metric, and the dilaton
solutions are expressed in terms of Jacobi elliptic functions. Using these
solutions we compute, for example, Killing vectors for the metric.

General Relativity and Quantum Cosmology