Elliptic Function Solutions in Jackiw-Teitelboim Dilaton Gravity

Abstract EN

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.