Integrable dissipative structures in the gauge theory of gravity

1997/10/17 by L. Martina, Oktay K. Pashaev, O. K. Pashaev +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th #nlin.SI #solv-int

paper · pdf · doi:10.1088/0264-9381/14/12/005

published as Class.Quant.Grav. 14 (1997) 3179-3186 · 12 pages, Latex, no figures, to appear in Class. Quantum. Grav

arxiv created 1997/10/17 · openalex publication_date 1997/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 SO(1,1) gauge symmetry. Spontaneous breaking of the non-compact symmetry and the irreversible evolution are discussed.

Citations

• 2 + 1 dimensional gravity as an exactly soluble system
• Chern-Simons field theory and completely integrable systems
• Particle creation by black holes

Cited by

• Degenerate Four-Virtual-Soliton Resonance for the KP-II
• Soliton Resonances for the MKP-II
• Equations of the reaction-diffusion type with a loop algebra structure