Elliptic Function Solutions in Jackiw-Teitelboim Dilaton Gravity

被引：2

作者：

D'Ambroise, Jennie ^{[1
]}

Williams, Floyd L. ^{[2
]}

机构：

[1] SUNY Old Westbury, Dept Math CIS, POB 210, Old Westbury, NY 11568 USA

[2] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2017年 / 2017卷

关键词：

NONLINEAR SCHRODINGER-EQUATION; BLACK-HOLES; SOLITONS;

D O I：

10.1155/2017/2154784

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：10

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