Linear perturbations and stability analysis in f(T) Braneworld scenario

We conduct a detailed analysis of the full linear perturbations in the braneworld scenario within f(T) gravity. By decomposing the perturbations of the theory into the scalar, transverse vector, antisymmetric pseudotensor, and symmetric transverse-traceless tensor modes, we derive the quadratic acti...

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Bibliographic Details
Main Authors: Ju-Ying Zhao, Mao-Jiang Liu, Ke Yang
Format: Article
Language:English
Published: Elsevier 2025-01-01
Series:Physics Letters B
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Online Access:http://www.sciencedirect.com/science/article/pii/S0370269324007196
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Summary:We conduct a detailed analysis of the full linear perturbations in the braneworld scenario within f(T) gravity. By decomposing the perturbations of the theory into the scalar, transverse vector, antisymmetric pseudotensor, and symmetric transverse-traceless tensor modes, we derive the quadratic action for each mode. The results indicate that there is a total of one scalar, one massless vector, and one tensor propagating degrees of freedom. Consequently, in comparison to general relativity, no additional degrees of freedom appear under the flat braneworld background in the linearized theory. For a thick brane model with f(T)=T+αT2, we find that it exhibits stability against linear perturbations.
ISSN:0370-2693