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Elliptic Function Solutions in Jackiw-Teitelboim Dilaton Gravity

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  • Jennie D’Ambroise
  • Floyd L. Williams

Abstract

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.

Suggested Citation

  • Jennie D’Ambroise & Floyd L. Williams, 2017. "Elliptic Function Solutions in Jackiw-Teitelboim Dilaton Gravity," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-10, July.
    • Handle: RePEc:hin:jnlamp:2154784
    DOI: 10.1155/2017/2154784
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