Membranes with a symmetry of cohomogeneity one

Hiroshi Kozaki, Tatsuhiko Koike, Hideki Ishihara

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Abstract

We study the dynamics of the Nambu-Goto membranes with cohomogeneity one symmetry, i.e., the membranes whose trajectories are foliated by homogeneous surfaces. It is shown that the equation of motion reduces to a geodesic equation on a certain manifold, which is constructed from the original spacetime and Killing vector fields thereon. A general method is presented for classifying the symmetry of cohomogeneity one membranes in a given spacetime. The classification is completely carried out in Minkowski spacetime. We analyze one of the obtained classes in depth and derive an exact solution.

Original languageEnglish
Article number025007
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume91
Issue number2
DOIs
Publication statusPublished - 2015 Jan 9

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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