Abstract
We introduce new non-static 6D braneworld model involving real 6D scalar field as the source of gravity. The brane is generated by the standing waves of gravity and real scalar field oscillating in the bulk. The oscillations are out of phase in time, so that the oscillation energy transfers back and forth between the standing waves of gravity and real scalar field. Underlying geometry of 6D spacetime has no horizons, the brane has one internal (on-brane) extra dimension which is compact and sufficiently small to describe our universe (hybrid compactification), and there is also one external to brane (off-brane) extra dimension, which is large or even infinite for the observers on the brane. We show that there are two different physical limits realizing the trapping of classical particles and light and also of massless scalar fields on the brane. In the first one, the amplitude of standing waves must be sufficiently large, while in the second one the amplitude of standing waves can be small enough. We show that in both cases particles and light, as well as massless scalar fields, are dynamically trapped on the brane by the pressure of bulk standing waves of gravity and real scalar field.
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