Local and global structure of a thick domain wall space-time
Anzhong Wang, Patricio S. Letelier
Abstract
The local and global properties of the Goetz thick plane domain wall space-time are studied. It is found that when the surface energy of the wall is greater than a critical value σc, the space-time will be closed by intermediate singularities at a finite proper distance. A model is presented in which these singularities will give rise to scalar ones when interacting with null fluids. The maximum extension of the space-time of the wall whose surface energy is less than σc is presented. It is shown that for certain choice of the free parameter the space-time has a black hole structure but with plane symmetry.
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