Scalar perturbations of Eddington-inspired Born-Infeld braneworld

Abstract

We consider the scalar perturbations of Eddington-inspired Born-Infeld braneworld models in this paper. The dynamical equation for the physical propagating degree of freedom $\xi (x^{\mu },y)$ is achieved by using the Arnowitt-Deser-Misner decomposition method: $F_1(y){\partial }_y^2\xi +F_2(y){\partial }_y\xi +{\partial }^{\mu }{\partial }_{\mu }\xi =0$. We conclude that the solution is tachyonic-free and stable under scalar perturbations for $F_1(y)>0$ but unstable for $F_1(y)<0$. The stability of a known analytic domain wall solution with the warp factor given by $a(y)={\text{sech}}^{\frac{3}{4p}}(ky)$ is analyzed and it is shown that only the solution for $0<p<\sqrt{8/3}$ is stable.

arXiv comment16 pages, 1 figure, accepted by Physical Review D

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