Warped product spaces and geodesic motion in the neighborhood of branes

  title={Warped product spaces and geodesic motion in the neighborhood of branes},
  author={F Dahia and C. Romero and L. F. P. da Silva and Reza Tavakol},
  journal={Journal of Mathematical Physics},
We study the classical geodesic motions of nonzero rest mass test particles and photons in five-dimensional warped product spaces. We show that it is possible to obtain a general picture of these motions using the natural decoupling that occurs in such spaces between the motions in the fifth dimension and the motion in the hypersurfaces. This splitting allows the use of phase space analysis in order to investigate the possible confinement of particles and photons to hypersurfaces in five… 

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