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• W4200309075 abstract "Abstract In this paper we study the thick brane scenario constructed in the recently proposed $$f(T,{mathscr {T}})$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>f</mml:mi> <mml:mo>(</mml:mo> <mml:mi>T</mml:mi> <mml:mo>,</mml:mo> <mml:mi>T</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> theories of gravity, where T is called the torsion scalar and $${mathscr {T}}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>T</mml:mi> </mml:math> is the trace of the energy–momentum tensor. We use the first-order formalism to find analytical solutions for models that include a scalar field as a source. In particular, we describe two interesting case in which in the first we obtain a double-kink solution, which generates a splitting in the brane. In the second case, proper management of a kink solution obtained generates a splitting in the brane intensified by the torsion parameter, evinced by the energy density components satisfying the weak and strong energy conditions. In addition, we investigate the behavior of the gravitational perturbations in this scenario. The parameters that control the torsion and the trace of the energy–momentum tensor tend to shift the massive modes to the core of the brane, keeping a gapless non-localizable and stable tower of massive modes and producing more localized massless modes." @default.
• W4200309075 created "2021-12-31" @default.
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• W4200309075 date "2021-12-01" @default.
• W4200309075 modified "2023-10-05" @default.
• W4200309075 title "First-order formalism for thick branes in $$f(T,{mathscr {T}})$$ gravity" @default.
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• W4200309075 doi "https://doi.org/10.1140/epjc/s10052-021-09883-2" @default.
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