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Paper   IPM / Physic / 7155
School of Physics
  Title:   Brane Mechanics
  Author(s):  R. Abbaspur
  Status:   Preprint
  No.:  0
  Year:  1999
  Supported by:  IPM
In this paper, we investigate about two physically distinct classes of the `one-dimensional' worldvolume solutions describing the status of an arbitrary brane in the presence of another arbitrary (flat) brane which supplies the required supergravity background. One of these classes concerns with a relative (transverse) motion of two parallel flat branes, while the other class is related to a static configuration in which one of the branes is flat and the other is curved as a cylindrical hypersurface. Global symmetries of the worldvolume theory are used to show that both types of these solutions are described by some sort of `planar orbits' which are specified by their `energy' and `angular momentum' (E,l) parameters. We find that various phases of the `motion' along these orbits, for different values of (E,l), are easily deduced from the curve of an E-dependent function of the relative `distance' between the two branes, which is somehow related to their mutual `effective potential'.

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