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• W4383092693 abstract "Abstract In this manuscript, we obtained the exact solutions of asymptotically flat wormhole (WH) geometry in the mechanism of symmetric f ( Q ) gravity (vanishing curvature and torsion) where Lagrangian is a function of nonmetricity Q . In this scenario, we choose two different types of f ( Q ) gravity models (logarithmic and exponential) along with the special choice of shape function <?CDATA $b(r)=tfrac{r}{exp (gamma (r-{r}_{0}))}$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi>b</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>r</mml:mi> <mml:mo stretchy=false>)</mml:mo> <mml:mo>=</mml:mo> <mml:mstyle displaystyle=false> <mml:mfrac> <mml:mrow> <mml:mi>r</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>exp</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>γ</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>r</mml:mi> <mml:mo>−</mml:mo> <mml:msub> <mml:mrow> <mml:mi>r</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>0</mml:mn> </mml:mrow> </mml:msub> <mml:mo stretchy=false>)</mml:mo> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> </mml:mfrac> </mml:mstyle> </mml:math> , and red-shift function <?CDATA $phi (r)=tfrac{{r}_{0}}{2r}$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi>ϕ</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>r</mml:mi> <mml:mo stretchy=false>)</mml:mo> <mml:mo>=</mml:mo> <mml:mstyle displaystyle=false> <mml:mfrac> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>r</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>0</mml:mn> </mml:mrow> </mml:msub> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> <mml:mi>r</mml:mi> </mml:mrow> </mml:mfrac> </mml:mstyle> </mml:math> . Here, γ affects the radius of curvature of WH. Under this scenario, we explore the viability of the shape function and energy conditions (ECs) of the WH solutions for each model. For both models, we determine the validity regions of ECs under some parameter spaces of the model parameters. The allowed parameter spaces for logarithmic and exponential models are illustrated in tables 1 and 2, respectively. The validity region for the null EC (NEC) represents that WH geometry in chosen f ( Q ) gravity models is supported by ordinary matter while exotic matter elsewhere. Furthermore, we represent the WH construction by embedding diagrams and shows that the derived WH solutions are stable for the allowed range of model parameters. Finally, it is concluded that such particular modified gravity can give us a more realistic and stable WH geometry." @default.
• W4383092693 created "2023-07-05" @default.
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• W4383092693 date "2023-07-13" @default.
• W4383092693 modified "2023-09-23" @default.
• W4383092693 title "A study of wormhole geometries in symmetric teleparallel gravity" @default.
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• W4383092693 doi "https://doi.org/10.1088/1402-4896/ace3ff" @default.
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