Integrable dissipative structures in the gauge theory of gravity

被引：24

作者：

Martina, L ^{[1
]}

Pashaev, OK

Soliani, G

机构：

[1] Univ Lecce, Dipartimento Fis, I-73100 Lecce, Italy

[2] Ist Nazl Fis Nucl, Sez Lecce, I-73100 Lecce, Italy

[3] Joint Inst Nucl Res, Dubna, Russia

来源：

CLASSICAL AND QUANTUM GRAVITY | 1997年 / 14卷 / 12期

关键词：

D O I：

10.1088/0264-9381/14/12/005

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The Jackiw-Teitelboim gauge formulation of (1 + 1)-dimensional gravity allows us to relate different gauge-fixing conditions to integrable hierarchies of evolution equations. We show that the equations for the zweibein fields can be written as a pair of time-reversed evolution equations of the reaction-diffusion type, admitting dissipative solutions. The spectral parameter for the related Lax pair appears as the constant-valued spin connection associated with the S0(1, 1) gauge symmetry. Spontaneous breaking of the non-compact symmetry and irreversible evolution are discussed.

引用

页码：3179 / 3186

页数：8

共 26 条

[1] ON INDUCED GRAVITY IN 2D TOPOLOGICAL THEORIES [J].