Elliptic function solutions in Jackiw-Teitelboim dilaton gravity
General Relativity and Quantum Cosmology
2017-05-25 v1
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.
Cite
@article{arxiv.1705.08585,
title = {Elliptic function solutions in Jackiw-Teitelboim dilaton gravity},
author = {Jennie D'Ambroise and Floyd L. Williams},
journal= {arXiv preprint arXiv:1705.08585},
year = {2017}
}