Reconstruction of the singularity-free $$f({\mathcal {R}})$$ gravity via Raychaudhuri equations

Author:

Gadbail Gaurav N.ORCID,Arora SimranORCID,Sahoo P. K.ORCID,Bamba KazuharuORCID

Abstract

AbstractWe study the bounce cosmology to construct a singularity-free $$f({\mathcal {R}})$$ f ( R ) model using the reconstruction technique. The formulation of the $$f({\mathcal {R}})$$ f ( R ) model is based on the Raychaudhari equation, a key element employed in reconstructed models to eliminate singularities. We explore the feasibility of obtaining stable gravitational Lagrangians, adhering to the conditions $$f_{{\mathcal {R}}}>0$$ f R > 0 and $$f_{{\mathcal {R}}{\mathcal {R}}}>0$$ f R R > 0 . Consequently, both models demonstrate stability, effectively avoiding the Dolgov–Kawasaki instability. Our assessment extends to testing the reconstructed model using energy conditions and the effective equation-of-state (EoS). Our findings indicate that the reconstructed super-bounce model facilitates the examination of a singularity-free accelerating universe for both phantom and non-phantom phases. However, in the case of the reconstructed oscillatory bounce model, two scenarios are considered with $$\omega =-\,1/3$$ ω = - 1 / 3 and $$\omega =-\,2/3$$ ω = - 2 / 3 . While the model proves suitable for studying a singular-free accelerating universe in the $$\omega =-\,1/3$$ ω = - 1 / 3 case, it fails to demonstrate such behavior under energy conditions for the $$\omega =-\,2/3$$ ω = - 2 / 3 scenario. The reconstructed models accommodate early-time bouncing behavior and late-time cosmic acceleration within a unified framework.

Funder

UGC-DAE Consortium for Scientific Research, University Grants Commission

Goverment of India

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Reference97 articles.

1. A.G. Riess et al., Astron. J. 116, 1009–1038 (1998)

2. E. Komatsu et al., Astrophys. J. Suppl. 192, 18 (2011)

3. S. Cao, Z.-H. Zhu, Phys. Rev. D 90, 083006 (2014)

4. S. Cao, Z.-H. Zhu, R. Zhao, Phys. Rev. D 84, 023005 (2011)

5. E.R. Peterson et al., Astrophys. J. 938, 112 (2022)

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