Thick Brane Split Caused by Spacetime Torsion

Physical review D: Particles and fields (Impact Factor: 4.86). 02/2012; 85(8). DOI: 10.1103/PhysRevD.85.084033
Source: arXiv


In this paper we apply the five-dimensional $f(T)$ gravity with $f(T)=T+k
T^n$ to brane scenario to explore the solutions under a given warp factor, and
we find that the analytic domain wall solution will be a double-kink solution
when the geometric effect of spacetime torsion is strongly enhanced. We also
investigate the localization of fermion fields on the split branes
corresponding to the double-kink solution.

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Available from: Yun-Liang Li, Mar 31, 2015
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    • "A brane model in the Recently presented EiBI gravity theory were constructed in Ref. [24] and it was found that the four-dimensional Einstein gravity can be recovered on the brane at low energy. Branes in spacetime with torsion were investigated – 1 – in Ref [25] [26] and it was shown that in the f (T ) gravity that the torsion of spacetime can effect the inner structure of branes [25]. Reference [27] investigated braneworld teleparallel gravity. "
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    • "In special cases, where the membranes are generated by scalar fields, its is very simple to obtain solutions through the superpotential method. In particular, several membrane types were considered: those generated by models with more than one scalar fields, deformed membranes and so on [3] [4] [5] [6] [7] [8] [9]. Beyond that, the analysis of how the localization is made for various fields (tensors and spinors) have been understood [10] [11] [12] [13] [14] [15] [16] [17]. "
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    ABSTRACT: We consider $f(T)$ gravity for a Weitzenbock spherically symmetric and static spacetime, where the metric is projected in the tangent space to the manifold for a set of non-diagonal tetrads. The matter content is coupled through the energy momentum tensor of an anisotropic fluid, generating various classes of new black hole and wormhole solutions. One of these classes is that of cold black holes. We also perform the reconstruction scheme of the algebraic function $f(T)$ for two cases where the radial pressure is proportional to $f(T)$ and its first derivative.
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