Cosmological reconstruction and CDM universe in gravity

Gaurav N. Gadbail; Avik De; P. K. Sahoo

doi:10.1140/epjc/s10052-023-12288-y

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 1099
https://doi.org/10.1140/epjc/s10052-023-12288-y

Regular Article - Theoretical Physics

Cosmological reconstruction and $Λ$ $\Lambda$ CDM universe in $f (Q, C)$ $f(Q,\,C)$ gravity

Gaurav N. Gadbail¹, Avik De² and P. K. Sahoo¹^c

¹ Department of Mathematics, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, 500078, Hyderabad, India
² Department of Mathematical and Actuarial Sciences, Universiti Tunku Abdul Rahman, Jalan Sungai Long, 43000, Cheras, Malaysia

^c pksahoo@hyderabad.bits-pilani.ac.in

Received: 24 October 2023
Accepted: 24 November 2023
Published online: 3 December 2023

Abstract

Symmetric Teleparallel Gravity allows for the reformulation of gravity in the form of nonmetricity by vanishing the contorsion term in the generic affine connection. Our focus is on investigating a recently proposed extension of this theory in which the Lagrangian has the form f(Q, C) by incorporating the boundary term C. In this work, we first use a reconstruction approach in f(Q, C) gravity that might admit the $Λ$ $\Lambda$ CDM expansion history. Furthermore, we perform a novel approach for cosmological reconstruction of f(Q, C) gravity in terms of e-folding, and it shows how any FLRW cosmology can arise from a specific f(Q, C) gravity. A variety of instances are provided using this approach in which f(Q, C) gravity is reconstructed to yield the well-known cosmic evolution: $Λ$ $\Lambda$ CDM era, acceleration/deceleration era which is equivalent to the presence of phantom and non-phantom matter, late-time acceleration with the crossing of phantom-divide line and transient phantom era.

© The Author(s) 2023

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