Thick string-like braneworlds in f(T) gravity

Abstract

We propose a codimension two warped braneworld model within the teleparallel $f(T)$ gravity. By assuming a global vortex as the source, we found a $l=0$ vortex solution that yields to a thick string-like brane. Asymptotically, the bulk geometry converges to an $Ad{S}_6$ spacetime whose cosmological constant is produced by the torsion parameters. Furthermore, the torsion induces an $AdS-dS$ transition on the exterior region. Inside the brane core, the torsion produces an internal structure even for a single complex scalar field. As the torsion parameters vary, the brane undergoes a phase transition leading to the formation of 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 the behaviour of the gravitational perturbations in this scenario. It turns out that the gravitational spectrum has a linear behaviour for small masses and is independent of the torsion parameters for large masses. In the bulk, the torsion keeps a gapless non-localizable 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.

25 pages, 11 figures

References in corpus (18)

• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Degrees of freedom of $f(T)$ gravity
• Exact charged black-hole solutions in D-dimensional f(T) gravity: torsion vs curvature analysis
• Fermion localization and resonances on two-field thick branes
• Energy conditions bounds on f(T) gravity
• Domain wall brane in squared curvature gravity
• Localization of Fermions on a String-like Defect
• Forecast constraints on $f(T)$ gravity with gravitational waves from compact binary coalescences
• First Order Formalism for Thick Branes in Modified Teleparallel Gravity
• A Warped Model of Dark Matter
• Kaluza-Klein theory for teleparallel gravity
• Flat connection for rotating vacuum spacetimes in extended teleparallel gravity theories
• Gravity localization in a string-cigar braneworld
• Gauge fields in a string-cigar braneworld
• Gravitational Kaluza-Klein modes in the String-Cigar Braneworld

Cited by in corpus (4)

• Teleparallel gravity: Effects of torsion in 6D braneworlds
• String-like brane splitting in the context of $f(T,B)$ gravity
• Linear Perturbations and Stability Analysis in $f(T)$ Braneworld Scenario
• Thick branes in Born-Infeld determinantal gravity in Weitzenböck spacetime