Thick brane in Rastall gravity
arXiv:2206.15145 · doi:10.1007/JHEP09(2022)128
Abstract
In this work, thick branes in Rastall gravity are investigated. Three types of maximally symmetric thick brane models are constructed and the linear tensor perturbation is analyzed. In the flat brane model, the tensor modes of the perturbation are either unstable or nonlocalizable for a nonvanishing Rastall parameter. In the de Sitter brane model, only the ground state of the tensor mode is localized. In the anti-de Sitter brane model, the number of the bound tensor states is infinity. For both the de Sitter and anti-de Sitter brane models, the condition of stability for the Rastall parameter is obtained.
13 pages, 7 figures
References in corpus (16)
- Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
- Einstein and Rastall Theories of Gravitation in Comparison
- First-order formalism for bent brane
- f(R)-Brane
- Domain Wall Brane in Eddington Inspired Born-Infeld Gravity
- Constraining the Rastall parameters in static spacetimes with galaxy-scale strong gravitational lensing
- A connection between Rastall-type and f(R, T) gravities
- Brane Models with a Ricci-Coupled Scalar Field
- De Sitter brane-world, localization of gravity, and the cosmological constant
- Graviton localization and Newton's law for brane models with a non-minimally coupled bulk scalar field
- Abelian-Higgs strings in Rastall gravity
- Introduction to Extra Dimensions and Thick Braneworlds
- Gauss-Bonnet brane gravity with a confining potential
- Cosmological implications of Rastall- theory
- Scalar perturbations of Eddington-inspired Born-Infeld braneworld
- Compact stars in the Einstein dark energy model