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

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

Feb 7, 2024

12 pages

Published in:

Eur.Phys.J.C 84 (2024) 7, 752,
Eur.Phys.J.C 84 (2024) 752

Published: Jul 27, 2024

e-Print:

2402.04813 [gr-qc]

DOI:

10.1140/epjc/s10052-024-13107-8

View in:

ADS Abstract Service

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Abstract: (Springer)

We study the bounce cosmology to construct a singularity-free

f({\mathcal {R}})

model using the reconstruction technique. The formulation of the

f({\mathcal {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

and

f_{{\mathcal {R}}{\mathcal {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

and

\omega =-\,2/3

. While the model proves suitable for studying a singular-free accelerating universe in the

\omega =-\,1/3

case, it fails to demonstrate such behavior under energy conditions for the

\omega =-\,2/3

scenario. The reconstructed models accommodate early-time bouncing behavior and late-time cosmic acceleration within a unified framework.

Note:

EPJC published version

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Figures(15)

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