TL;DR
This paper explores the formation and stabilization of 'dimension bubbles' in a 5D spacetime with a compact extra dimension, showing how scalar fields can trap particles and prevent collapse of these bubbles.
Contribution
It introduces a new class of stable 'dimension bubbles' in a 5D theory, extending previous work on spacetime bubbles by including scalar field stabilization mechanisms.
Findings
Dimension bubbles can enclose 5D regions within 4D spacetime.
Scalar fields can stabilize these bubbles against collapse.
Light scalar particles can be trapped inside the bubbles.
Abstract
``Dimension bubbles'' of the type previously studied by Blau and Guendelman [S.K. Blau and E.I. Guendelman, Phys. Rev. D40, 1909 (1989)], which effectively enclose a region of 5d spacetime and are surrounded by a region of 4d spacetime, can arise in a 5d theory with a compact extra dimension that is dimensionally reduced to give an effective 4d theory. These bubbles with thin domain walls can be stabilized against total collapse in a rather natural way by a scalar field which, as in the case with ``ordinary'' nontopological solitons, traps light scalar particles inside the bubble.
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