Abstract
The present study reports a reconstruction scheme for f(R) gravity with the scale factor a(t)∝(t*−t)2c2 describing 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 the chameleon scalar field, and the scalar field ϕ and the potential V(ϕ) are tested for quasi-exponential expansion. 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 of pre-bounce ekpyrotic inflation in f(R) gravity are compared to the background solution for f(R) matter bounce.
Highlights
Observational evidence in support of the late time acceleration of the universe is documented in a plethora of literature [1,2,3,4]
Where c stands for the velocity of light, g = det gμν is the determinant of the metric tensor c4 and Lmatter is the matter Lagrangian
It was already stated that the purpose of the present work is to reconstruct f ( R) gravity and to demonstrate the cosmology of the chameleon scalar field under this reconstruction
Summary
Observational evidence in support of the late time acceleration of the universe is documented in a plethora of literature [1,2,3,4]. DE and modified gravity theories have some similarities in their basic approach, modified gravity has some features that have made it attractive in the study of the late time acceleration of the universe. Where a0 is a scale factor at the bouncing point and σ is a positive parameter. It was demonstrated in [63] that apart from presenting bouncing behaviour corresponding to matter-dominated contraction and expansion, such an ansatz presented in Equation (27) exhibits the advantage of allowing for semi-analytic solutions.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
