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• W4384340757 abstract "Abstract The Noether Symmetry approach is applied to study an extended teleparallel $$f(T,phi )$$ <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>ϕ</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> gravity that contains the torsion scalar T and the scalar field $$phi $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>ϕ</mml:mi> </mml:math> in the context of an Friedmann–Lemaître–Robertson–Walker space-time. We investigate the Noether symmetry approach in $$f(T,phi )$$ <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>ϕ</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> gravity formalism with the specific form of $$f(T,phi )$$ <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>ϕ</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> and analyze how to demonstrate a nontrivial Noether vector. The Noether symmetry method is a helpful resource for generating models and finding out the exact solution of the Lagrangian. In this article, we go through how the Noether symmetry approach enables us to define the form of the function $$f(T,phi )$$ <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>ϕ</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> and obtain exact cosmological solutions. We also find the analytical cosmological solutions to the field equations, that is consistent with the Noether symmetry. Our results demonstrate that the obtained solutions enable an accelerated expansion of the Universe. We have also obtained the present value of the Hubble parameter, deceleration parameter, and effective equation of state parameter, which is fit in the range of current cosmological observations." @default.
• W4384340757 created "2023-07-15" @default.
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• W4384340757 date "2023-07-14" @default.
• W4384340757 modified "2023-09-27" @default.
• W4384340757 title "Noether symmetry approach in scalar-torsion $$f(T,phi )$$ gravity" @default.
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• W4384340757 doi "https://doi.org/10.1140/epjc/s10052-023-11792-5" @default.
• W4384340757 hasPublicationYear "2023" @default.
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