Integrable models of (1+1)-dimensional dilaton gravity coupled to scalar matter

被引：6

作者：

Filippov, AT ^{[1
]}

机构：

[1] Joint Inst Nucl Res, Dubna, Moscow Oblast, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2006年 / 146卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

dilaton gravity; integrable models; soliton; Lionville equation;

D O I：

10.1007/s11232-006-0010-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We describe a class of explicitly integrable models of (1+1)-dimensional dilaton gravity coupled to scalar fields in sufficient detail. The equatious of motion of these models reduce to systems of Liouville equations with energy and momentum constraints. We construct the general solution of the equations and constraints in terms of chiral moduli fields explicitly and briefly discuss some extensions of the basic integrable model. These models call be related to higher-dimensional supergravity theories, but we mostly consider them independently of such interpretations. We also briefly review other integrable models of two-dimensional dilaton gravity.

引用

页码：95 / 107

页数：13

共 19 条

[1] Monodromy-data parameterization of spaces of local solutions of integrable reductions of Einstein's field equations [J].