Thick planar domain wall: its thin wall limit and dynamics

Abstract

We consider a planar gravitating thick domain wall of the $\lambda {\varphi }^4$ theory as a spacetime with finite thickness glued to two vacuum spacetimes on each side of it. Darmois junction conditions written on the boundaries of the thick wall with the embedding spacetimes reproduce the Israel junction condition across the wall in the limit of infinitesimal thickness. The thick planar domain wall located at a fixed position is then transformed to a new coordinate system in which its dynamics can be formulated. It is shown that the wall's core expands as if it were a thin wall. The thickness in the new coordinates is not constant anymore and its time dependence is given.

11 pages, to appear in IJMPD

References in corpus (8)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• Topological Inflation
• Self-gravitating domain walls and the thin-wall limit
• The dynamics of curved gravitating walls
• Thick domain wall universes
• On dynamics of cylindrical and spherical relativistic domain walls of finite thickness
• Gravitational Effects on Domain Walls with Curvature Correction

Cited by in corpus (3)

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