Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Reconstructed f(R) Gravity and Its Csmological Consequences in Chameleon Scalar Field with A Scale Factor Describing The Pre-Bounce Ekpyrotic Contraction

Version 1 : Received: 11 August 2020 / Approved: 15 August 2020 / Online: 15 August 2020 (06:15:05 CEST)

A peer-reviewed article of this Preprint also exists.

Karmakar, S.; Myrzakulov, K.; Chattopadhyay, S.; Myrzakulov, R. Reconstructed f(R) Gravity and Its Cosmological Consequences in theChameleon Scalar Field with a Scale Factor Describing the Pre-Bounce Ekpyrotic Contraction. Symmetry 2020, 12, 1559. Karmakar, S.; Myrzakulov, K.; Chattopadhyay, S.; Myrzakulov, R. Reconstructed f(R) Gravity and Its Cosmological Consequences in theChameleon Scalar Field with a Scale Factor Describing the Pre-Bounce Ekpyrotic Contraction. Symmetry 2020, 12, 1559.

Journal reference: Symmetry 2020, 12, 1559
DOI: 10.3390/sym12091559

Abstract

Inspired by the work of S. D. Odintsov and V. K. Oikonomou, Phys. Rev. D 92, 024016 (2015) [1], the present study reports a reconstruction scheme for f (R) gravity with the scale factor a(t) µ (t * - t) c22describing the pre-bounce ekpyrotic contraction, where t is the big crunch time. The reconstructed f (R) is used to derive expressions for density and pressure contributions and the equation of state parameter resulting from this reconstruction is found to behave like "quintom". It has also been observed that the reconstructed f (R) has satisfied a sufficient condition for a realistic model. In the subsequent phase the reconstructed f (R) is applied to the model of chameleon scalar field and the scalar field f and the potential V(f) are tested for quasi-exponential ex pansion. It has been observed that although the reconstructed f (R) satisfies one of the sufficient conditions for realistic model, the quasi-exponential expansion is not available due to this reconstruction. Finally, the consequences pre-bounce ekpyrotic inflation i n f (R) gravity are compared to the background solution for f (R) matter bounce.

Subject Areas

pre-bounce ekpyrotic contraction; f(R) gravity; reconstruction

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