TY - JOUR
T1 - Membranes with a symmetry of cohomogeneity one
AU - Kozaki, Hiroshi
AU - Koike, Tatsuhiko
AU - Ishihara, Hideki
N1 - Publisher Copyright:
© 2015 American Physical Society.
PY - 2015/1/9
Y1 - 2015/1/9
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevD.91.025007
DO - 10.1103/PhysRevD.91.025007
M3 - Article
AN - SCOPUS:84921498292
SN - 1550-7998
VL - 91
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 2
M1 - 025007
ER -