Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-03-19
Phys.Rev. D65 (2002) 026004
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, LaTeX, no figures; V2:Comments and references added; V3:Discussion on the properties of the obtained solutions exten
Scientific paper
10.1103/PhysRevD.65.026004
We show how the classical string dynamics in $D$-dimensional gravity background can be reduced to the dynamics of a massless particle constrained on a certain surface whenever there exists at least one Killing vector for the background metric. We obtain a number of sufficient conditions, which ensure the existence of exact solutions to the equations of motion and constraints. These results are extended to include the Kalb-Ramond background. The $D1$-brane dynamics is also analyzed and exact solutions are found. Finally, we illustrate our considerations with several examples in different dimensions. All this also applies to the tensionless strings.
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