Localization of gravity on a de Sitter thick braneworld without scalar fields. (English) Zbl 1294.81203
Summary: In this work we present a simple thick braneworld model that is generated by an intriguing interplay between a 5D cosmological constant with a de Sitter metric induced in the 3-brane without the inclusion of scalar fields. We show that 4D gravity is localized on this brane, provide analytic expressions for the massive Kaluza-Klein (KK) fluctuation modes and also show that the spectrum of metric excitations displays a mass gap. We finally present the corrections to Newton’s law due to these massive modes. This model has no naked singularities along the fifth dimension despite the existence of a mass gap in the graviton spectrum as it happens in thick branes with 4D Poincaré symmetry, providing a simple model with very good features: the curvature is completely smooth along the fifth dimension, it localizes 4D gravity and the spectrum of gravity fluctuations presents a mass gap, a fact that rules out the existence of phenomenologically dangerous ultralight KK excitations in the model. We finally present our solution as a limit of scalar thick branes.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 83E30 | String and superstring theories in gravitational theory |
| 81V17 | Gravitational interaction in quantum theory |
| 83C05 | Einstein’s equations (general structure, canonical formalism, Cauchy problems) |
| 83E15 | Kaluza-Klein and other higher-dimensional theories |
| 83C45 | Quantization of the gravitational field |
Keywords:
strings and branes phenomenologyReferences:
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