“School of Physic”

Back to Papers Home
Back to Papers of School of Physic

Paper   IPM / Physic / 7182
School of Physics
  Title:   Dynamics of General Relativistic Spherically Symmetric Thic Shells
1.  R. Mansouri
2.  S. Khakshournia
  Status:   Preprint
  No.:  0
  Year:  2000
  Supported by:  IPM
We consider a spherical thick shell immersed in two different spherically symmetric space-times. Using the fact that the boundaries of the thick shell with two embedding space-times must be nonsingular hypersurfaces, we develop a scheme to obtain the underlying equation of motion for the thick shell in general. As a simple example, the equation of motion of a spherical dustlike shell in vacuum is obtained. To compare our formalism with the thin shell one, the dynamical equation of motion of the thick shell is then expanded to the first order of its thickness. It is easily seen that the thin shell limit of our dynamical equation is exactly that given in the literature for the dynamics of a thin shell. It turns out that the effect of thickness is to speed up the collapse of the shell.

Download TeX format
back to top
scroll left or right