https://doi.org/10.1140/epjc/s10052-022-11041-1
Regular Article - Theoretical Physics
Thick branes in Born–Infeld determinantal gravity in Weitzenböck spacetime
1
School of Physical Science and Technology, Southwest University, 400715, Chongqing, People’s Republic of China
2
Physics Department, Chongqing University, 401331, Chongqing, People’s Republic of China
3
School of Physics and Electronics Science, Hunan Provincial Key Laboratory of High-Energy Scale Physics and Applications, Hunan University, 410082, Changsha, People’s Republic of China
Received:
6
October
2022
Accepted:
14
November
2022
Published online:
7
December
2022
By adopting the idea of Born–Infeld electromagnetism, the Born–Infeld determinantal gravity in Weitzenböck spacetime provides a way to smooth the Big Bang singularity at the classical level. We consider a thick braneworld scenario in the higher-dimensional extension of this gravity, and investigate the torsion effects on the brane structure and gravitational perturbation. For three particular parameter choices, analytic domain wall solutions are obtained. They have a similar brane configuration that the brane thickness becomes thinner as the spacetime torsion gets stronger. For each model, the massless graviton is localized on the brane with the width of localization decreasing with the enhancement of the spacetime torsion, while the massive gravitons propagate in the bulk and contribute a correction term proportional to 
to the Newtonian potential. A sparsity constraint on the fundamental 5-dimensional gravitational scale is estimated from the gravitational experiment. Moreover, the parameter ranges in which the Kaluza–Klein gravitons are tachyonic free are analyzed.
© The Author(s) 2022
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