Elliptic function solutions in Jackiw-Teitelboim dilaton gravity

@article{DAmbroise2017EllipticFS,
  title={Elliptic function solutions in Jackiw-Teitelboim dilaton gravity},
  author={J. D’Ambroise and F. Williams},
  journal={Advances in Mathematical Physics},
  year={2017},
  volume={2017},
  pages={2154784}
}
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… Expand
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