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A holographic reconstruction scheme for f(R) gravity and the study of stability and thermodynamic consequences

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Abstract The present paper reports a study of the reconstruction of f(R) gravity from holographic Ricci dark energy, a specific case of Nojiri–Odintsov holographic DE (ref Nojiri and Odinstov, 2005a),… Click to show full abstract

Abstract The present paper reports a study of the reconstruction of f(R) gravity from holographic Ricci dark energy, a specific case of Nojiri–Odintsov holographic DE (ref Nojiri and Odinstov, 2005a), in the presence of bulk viscosity. The reconstructed equation of state (EoS) parameter wR was found to have a transition from quintessence to phantom in the absence of the bulk viscosity. Thus, the behaviour of wR for this reconstruction scheme was identified as “quintom” in the absence of the bulk viscosity. However, in the case of the bulk viscous scenario wR behaves like “quintessence”. Furthermore, the generalized second law of thermodynamics was tested in the case of the reconstructed f(R) gravity. Finally, the stability of this model against small perturbations was demonstrated with the aid of squared speed of sound.

Keywords: reconstruction; gravity; reconstruction scheme; bulk viscosity

Journal Title: New Astronomy
Year Published: 2020

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