Thick brane solutions

Abstract

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.

The journal version

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Cited by in corpus (166)

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• Extended Supersymmetry and BPS solutions in baby Skyrme models
• Gravity localization and mass hierarchy in scalar-tensor branes
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• Bounds on topological Abelian string-vortex and string-cigar from information-entropic measure
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• Frame-invariant approach to higher-dimensional scalar-tensor gravity
• A method for obtaining thick branes models
• Resonance Mass Spectra of Gravity and Fermion on Bloch Branes
• Large Dimensions and Small Curvatures from Supersymmetric Brane Back-reaction
• Localization of five-dimensional Elko spinors with non-minimal coupling on thick branes
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• Brane modeling in warped extra-dimension
• Scalar fields and defect structures: perturbative procedure for generalized models
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• Spontaneous localization on a brane via a gravitational mechanism
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• Equivalence between Born-Infeld tachyon and effective real scalar field theories for brane structures in warped geometry
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• Localization of scalar and tensor fields in the standing wave braneworld with increasing warp factor
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• Thick Brane Isotropization in a Generalized 5D Anisotropic Standing Wave Braneworld Model
• K-field kinks in two-dimensional dilaton gravity
• First-order formalism for thick branes in $f(T,\mathcal{T})$ gravity
• Cosmological intersecting brane solutions
• Non-perturbative procedure for stable $K$-brane
• Geodesic congruences in warped spacetimes
• Localization Problem in the 5D Standing Wave Braneworld
• Thick brane solutions supported by two spinor fields
• Gravitational resonances on $f(R)$-brane
• Gravity localization on hybrid branes
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• On localization of universal scalar fields in a tachyonic de Sitter thick braneworld
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• Normal modes for two-dimensional gravitating kinks
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• Classic tests of General Relativity described by brane-based spherically symmetric solutions
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• Brane bounce-type configurations in a string-like scenario
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• Resonances on deformed thick branes
• Effective action of a self-interacting scalar field on brane
• Consistency Conditions for Fields Localization on Braneworlds
• Sculpting the Extra Dimensions: Inflation from Codimension-2 Brane Back-reaction
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• Spinor Walls in Five-Dimensional Warped Spacetime
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• Slinky evolution of domain wall brane cosmology
• Spectral interaction between universes
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• Pure geometric $f(R)$ branes
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• Refinements of the Weyl pure geometrical thick branes from information-entropic measure
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• Trapping Dirac fermions in tubes generated by two scalar fields
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• Friedmann-Robertson-Walker Braneworlds
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• Metamaterial branes
• Brane world models with bulk perfect fluid and broken 4D Poincare invariance
• Solitonic Brane Inflation
• Supergravity Induced Interactions on Thick Branes
• Cuscuta-Galileon Braneworlds
• 5D non-symmetric gravity and geodesic confinement
• de Sitter Thin Brane Model
• Particle creation by a massless spin-$\frac{1}{2}$ field in a warped cosmological braneworld scenario