Domain Wall Brane in Eddington Inspired Born-Infeld Gravity

Abstract

Recently, inspired by Eddington's theory, an alternative gravity called Eddington-inspired Born-Infeld gravity was proposed by Ba$\tilde{\text{n}}$ados and Ferreira. It is equivalent to Einstein's general relativity in vacuum, but deviates from it when matter is included. Interestingly, it seems that the cosmological singularities are prevented in this theory. Based on the new theory, we investigate a thick brane model with a scalar field presenting in the five-dimensional background. A domain wall solution is obtained, and further, we find that at low energy the four-dimensional Einstein gravity is recovered on the brane. Moreover, the stability of gravitational perturbations is ensured in this model.

16 pages, 2 figures, improved version

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• Tensor perturbations of Palatini $f(\mathcal{R})$-branes
• Stability and (quasi-)localization of gravitational fluctuations in Eddington-Inspired Born-Infeld brane system
• Tensor-to-Scalar Ratio in Eddington-inspired Born-Infeld Inflation
• Inflationary Tensor Perturbation in Eddington-inspired Born-Infeld gravity
• Scalar perturbations of Eddington-inspired Born-Infeld braneworld
• Cosmology in a reduced Born-Infeld--$f(T)$ theory of gravity
• Born-Infeld gravity with a Brans-Dicke scalar
• Warped Brane worlds in Critical Gravity