Abstract
We propose a codimension two warped braneworld model within the
teleparallel 1(T) gravity. Asymptotically, the bulk geometry converges
to an AdS6 spacetime whose cosmological constant is produced by the
torsion parameters. Furthermore, the torsion induces an AdS-dS
transition on the exterior region. As the torsion parameters vary, the
brane undergoes a phase transition from a thick string-like brane into
ring-like structures. The bulk-brane Planck mass ration is modified by
the torsion. The analysis of the stress-energy condition reveals a
splitting brane process satisfying the weak and strong-energy conditions
for some values of the parameters. In addition, we investigate t he
behavior of the gravitational perturbations in this scenario. It turns
out that the gravitational spectrum has a linear behavior for small
masses and is independent of the torsion parameters for large masses. In
the bulk, the torsion keeps a gapless nonlocalizable and stable tower of
massive modes. Inside the brane core, the torsion produces new barriers
and potential wells leading to small amplitude massive modes and a
massless mode localized around the ring structures.
We propose a codimension two warped braneworld model within the
teleparallel f(T) gravity. Asymptotically, the bulk geometry converges
to an AdS(6) spacetime whose cosmological constant is produced by the
torsion parameters. Furthermore, the torsion induces an AdS-dS
transition on the exterior region. As the torsion parameters vary, the
brane undergoes a phase transition from a thick string-like brane into
ring-like structures. The bulk-brane Planck mass ration is modified by
the torsion. The analysis of the stress-energy condition reveals a
splitting brane process satisfying the weak and strong-energy conditions
for some values of the parameters. In addition, we investigate t he
behavior of the gravitational perturbations in this scenario. It turns
out that the gravitational spectrum has a linear behavior for small
masses and is independent of the torsion parameters for large masses. In
the bulk, the torsion keeps a gapless nonlocalizable and stable tower of
massive modes. Inside the brane core, the torsion produces new barriers
and potential wells leading to small amplitude massive modes and a
massless mode localized around the ring structures.
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