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arXiv · 1705.08585

Elliptic function solutions in Jackiw-Teitelboim dilaton gravity

Jennie D'Ambroise·Floyd L. Williams
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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.

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Jennie D'Ambroise, Floyd L. Williams. 2017-05-24. Elliptic function solutions in Jackiw-Teitelboim dilaton gravity. https://arxiv.org/abs/1705.08585

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