Landau-Ginzburg perspective on Gregory-Laflamme instability

          @misc{ pirsa_PIRSA:07010010,
            doi = {10.48660/07010010},
            url = {https://pirsa.org/07010010},
            author = {},
            keywords = {Particle Physics},
            language = {en},
            title = {Landau-Ginzburg  perspective on Gregory-Laflamme instability},
            publisher = {Perimeter Institute},
            year = {2007},
            month = {jan},
            note = {PIRSA:07010010 see, \url{https://pirsa.org}}
          }
          

Abstract

I begin with a brief description of the black strings in backgrounds with compact circle, the Gregory-Laflamme instability and the resulting phase transition, and the critical dimensions.Then I describe a Landau-Ginzburg thermodynamic perspective on the instability and on the order of the phase transition. Next, the approach is generalized from a circle compactification to an arbitrary torus compactification. It is shown that the transition order depends only on the number of extended dimensions. I end up with outlining several open questions and puzzles related to the outcome of the Gregory-Laflamme instability.