Three dimensional Lifshitz black hole and the Korteweg-de Vries equation

E. Abdalla , Jeferson de Oliveira , A. Lima Santos , A. B. Pavan

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classification ✦ hep-th gr-qc

keywords dimensionalequationkorteweg-dethreevriesblackboundaryclose

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We consider a solution of three dimensional New Massive Gravity with a negative cosmological constant and use the AdS/CTF correspondence to inquire about the equivalent two dimensional model at the boundary. We conclude that there should be a close relation with the Korteweg-de Vries equation.

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Three dimensional Lifshitz black hole and the Korteweg-de Vries equation

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