Thick brane solutions
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This article gives a comprehensive review on thick brane solutions and related topics. Such models have attracted much attention from many aspects since the birth of the brane world scenario. In many works, it has been usually assumed that a brane is an infinitely thin object; however in more general situations, one can no longer assume this. It is also widely considered that more fundamental theories such as string theory would have a minimal length scale. Many multidimensional field theories coupled to gravitation have exact solutions of gravitating topological defects, which can represent our brane world. The inclusion of brane thickness can realize a variety of possible brane world models. Given our understanding, the known solutions can be classified into topologically non-trivial solutions and trivial ones. The former class contains solutions of a single scalar (domain walls), multi-scalar, gauge-Higgs (vortices), Weyl gravity and so on. As an example of the latter class, we consider solutions of two interacting scalar fields. Approaches to obtain cosmological equations in the thick brane world are reviewed. Solutions with spatially extended branes (S-branes) and those with an extra time-like direction are also discussed.
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Cited by 5 Pith papers
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In 5D f(T, T_G) gravity, thick branes develop splitting and internal structure controlled by the coupling, while supporting a normalizable chiral fermion zero mode and modified resonant Kaluza-Klein states due to the ...
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Real Part Emergence in Purely Imaginary Quasinormal Modes in Perturbed de Sitter Braneworlds
Perturbations on a thick de Sitter brane induce a real part in previously purely imaginary quasinormal modes, creating intermediate oscillatory signatures in time-domain signals while late-time behavior stays zero-mod...
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Quasinormal modes of the thick braneworld in $f(T)$ gravity
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Interactions between different Kaluza-Klein modes in brane world
The Orthonormal Completeness Hypothesis implies universal interactions between KK modes in brane-world effective actions for U(1) gauge and fermion fields.
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Two-scalar-field $f(R)$ Thick Branes, Gravitational Resonances and Quasinormal Modes
In ghost-free two-scalar f(R) thick branes, internal structure produces no narrow real-axis tensor resonances; quasinormal modes are broad with quality factors 0.9-1.9.
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