<p>This paper examines cosmic acceleration in the <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\:f\left(Q\right)\)</EquationSource> </InlineEquation>modified gravity framework using a cubic form of the variable deceleration parameter (VDP), under restriction on parameters. The model, defined by <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\:f\left(Q\right)=A+BQ\)</EquationSource> </InlineEquation>, where <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\:A\)</EquationSource> </InlineEquation>and <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\:B\)</EquationSource> </InlineEquation>are free parameters, which incorporates the non-metricity scalar <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\:Q\)</EquationSource> </InlineEquation>. The key parameters like Hubble parameter, energy density and pressure density, derived here are compared against the observational values reported by Planck 2018 for the Cosmic Microwave Background (CMB) and <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(\:{\Lambda\:}CDM\)</EquationSource> </InlineEquation> model.</p>

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Effect of Parameters in Cubic Parameterization of Variable Deceleration Parameter,\(\:\:\varvec{q}=-1+\frac{\varvec{m}}{\varvec{n}}-\frac{4}{\varvec{n}}{\varvec{t}}^{3}\) in Context of \(\:\varvec{f}\left(\varvec{Q}\right)\) Gravity

  • Pushpa Dubey,
  • Ekta Shrivastava,
  • Bhupendra Shukla,
  • Pankaj Kumar Shrivstava

摘要

This paper examines cosmic acceleration in the \(\:f\left(Q\right)\) modified gravity framework using a cubic form of the variable deceleration parameter (VDP), under restriction on parameters. The model, defined by \(\:f\left(Q\right)=A+BQ\) , where \(\:A\) and \(\:B\) are free parameters, which incorporates the non-metricity scalar \(\:Q\) . The key parameters like Hubble parameter, energy density and pressure density, derived here are compared against the observational values reported by Planck 2018 for the Cosmic Microwave Background (CMB) and \(\:{\Lambda\:}CDM\) model.