<p>In this study, both Interaction and Non-Interaction generalized Ghost Pilgrim Dark Energy (GGPDE) for Plane Symmetric Metric have been constructed using the Brans–Dicke theory. To get the solution to the field equations, we employed (i) the connection intervening in the metric potentials and (ii) the relationship between the average scale factor and the scalar field. This paper focusses on the sign-changeable interaction intervening in the dark mater (DM) and generalised ghost pilgrim DE (dark energy). The physical as well as the dynamical parameters such as the energy density of GGPDE (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\rho _{pde}\)</EquationSource> </InlineEquation>), the energy density of dark matter (<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\rho _M\)</EquationSource> </InlineEquation>), the equation of state (EoS) parameter (<InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\omega _{pde}\)</EquationSource> </InlineEquation>), <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\((\omega _{pde}-\omega '_{pde})\)</EquationSource> </InlineEquation> trajectories, deceleration parameter (q), statefinder plane (r-s), the energy density parameters (<InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\Omega _M\)</EquationSource> </InlineEquation>, <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\Omega _{pde}\)</EquationSource> </InlineEquation>, <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\Omega \)</EquationSource> </InlineEquation>), and the squared sound speed <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\((v_s^2)\)</EquationSource> </InlineEquation> are discussed. By using graphical representation, some parameters are explained. Moreover, model’s stability is also discussed.</p>

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Plane symmetric cosmological models with generalized ghost pilgrim dark energy

  • D. Neelima,
  • A. Narasimharao

摘要

In this study, both Interaction and Non-Interaction generalized Ghost Pilgrim Dark Energy (GGPDE) for Plane Symmetric Metric have been constructed using the Brans–Dicke theory. To get the solution to the field equations, we employed (i) the connection intervening in the metric potentials and (ii) the relationship between the average scale factor and the scalar field. This paper focusses on the sign-changeable interaction intervening in the dark mater (DM) and generalised ghost pilgrim DE (dark energy). The physical as well as the dynamical parameters such as the energy density of GGPDE ( \(\rho _{pde}\) ), the energy density of dark matter ( \(\rho _M\) ), the equation of state (EoS) parameter ( \(\omega _{pde}\) ), \((\omega _{pde}-\omega '_{pde})\) trajectories, deceleration parameter (q), statefinder plane (r-s), the energy density parameters ( \(\Omega _M\) , \(\Omega _{pde}\) , \(\Omega \) ), and the squared sound speed \((v_s^2)\) are discussed. By using graphical representation, some parameters are explained. Moreover, model’s stability is also discussed.