Gravitating multidefects from higher dimensions
TL;DR: In this article, a general method for the construction of multidefects, specific examples are presented in the case of higher-dimensional Einstein-Hilbert gravity, and specific classes of solutions can be generalized to the framework where the gravity part of the action includes, as a correction, the Euler-Gauss-Bonnet combination.
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Abstract: Warped configurations admitting pairs of gravitating defects are analyzed. After devising a general method for the construction of multidefects, specific examples are presented in the case of higher-dimensional Einstein-Hilbert gravity. The obtained profiles describe diverse physical situations such as (topological) kink-antikink systems, pairs of nontopological solitons, and bound configurations of a kink and of a nontopological soliton. In all the mentioned cases the geometry is always well behaved (all relevant curvature invariants are regular) and tends to five-dimensional anti-de Sitter space-time for large asymptotic values of the bulk coordinate. Particular classes of solutions can be generalized to the framework where the gravity part of the action includes, as a correction, the Euler-Gauss-Bonnet combination. After scrutinizing the structure of the zero modes, the obtained results are compared with conventional gravitating configurations containing a single topological defect.
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Citations
Inflating baby-Skyrme branes in six dimensions
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Continuously deformable topological structure
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Asymmetrically Warped Brane Models, Bulk Photons and Lorentz Invariance
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Cyclically Deformed Defects and Topological Mass Constraints
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Bulk photons in Asymmetrically Warped Space-times and Non-trivial Vacuum Refractive Index
TL;DR: In this article, the authors examined the case of bulk photons in asymmetrically warped brane models and obtained a sub-luminous energy-dependent refractive index of the form n−eff}(\omega) = 1+c−G −ε 2, where ε is the energy of the photon and G is the warp factor.
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