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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.14471 |
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| _version_ | 1866909411272818688 |
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| author | Zhao, Ju-Ying Liu, Mao-Jiang Yang, Ke |
| author_facet | Zhao, Ju-Ying Liu, Mao-Jiang Yang, Ke |
| contents | 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 $f(T)=T+ αT^2$, we find that it exhibits stability against linear perturbations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_14471 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Linear Perturbations and Stability Analysis in $f(T)$ Braneworld Scenario Zhao, Ju-Ying Liu, Mao-Jiang Yang, Ke High Energy Physics - Theory General Relativity and Quantum Cosmology 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 $f(T)=T+ αT^2$, we find that it exhibits stability against linear perturbations. |
| title | Linear Perturbations and Stability Analysis in $f(T)$ Braneworld Scenario |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2409.14471 |