Integrable dissipative structures in the gauge theory of gravity
High Energy Physics - Theory
2009-10-30 v1 General Relativity and Quantum Cosmology
Exactly Solvable and Integrable Systems
solv-int
Abstract
The Jackiw-Teitelboim gauge formulation of the 1+1 dimensional gravity allows us to relate different gauge fixing conditions with 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 gauge symmetry. Spontaneous breaking of the non-compact symmetry and the irreversible evolution are discussed.
Keywords
Cite
@article{arxiv.hep-th/9710140,
title = {Integrable dissipative structures in the gauge theory of gravity},
author = {L. Martina and O. K. Pashaev and G. Soliani},
journal= {arXiv preprint arXiv:hep-th/9710140},
year = {2009}
}
Comments
12 pages, Latex, no figures, to appear in Class. Quantum. Grav