2017/05/24 by Jennie D’Ambroise, D'Ambroise, Jennie, Floyd L. Williams +1
Physics and Astronomy · #83C15 #83C57 #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)
paper · pdf · doi:10.48550/arxiv.1705.08585
openalex publication_date 2017/05/24 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
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.