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Integrable dissipative structures in the gauge theory of gravity | | L. Martina
; O.K. Pashaev
; G. Soliani ( Lecce Univ.
; JINR Dubna
; | | Date: |
17 Oct 1997 | | Journal: | Class.Quant.Grav. 14 (1997) 3179-3186 | | Subject: | High Energy Physics - Theory; Exactly Solvable and Integrable Systems | hep-th gr-qc nlin.SI solv-int | | Affiliation: | Lecce Univ. (Italia), JINR Dubna (Russia) | | 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. | | Source: | arXiv, hep-th/9710140 | | Services: | Forum | Review | PDF | Favorites | |
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