Linear redshift parametrization of deceleration parameter in <math altimg="si12.svg" display="inline" id="d1e1125"><mrow><mi>f</mi><mrow><mo>(</mo><mi>R</mi><mo>,</mo><msub><mrow><mi>L</mi></mrow><mrow><mi>m</mi></mrow></msub><mo>)</mo></mrow></mrow></math> gravity - INSPIRE

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Linear redshift parametrization of deceleration parameter in $f (R, L_{m})$ gravity

May 31, 2024

Published in:

Phys.Dark Univ. 45 (2024) 101545

Published: May 31, 2024

DOI:

10.1016/j.dark.2024.101545 (publication)

reference search14 citations

Citations per year

Abstract: (Elsevier B.V.)

In this study, we investigate the linear redshift parametrization of

q (z)

within the framework of

f (R, L_{m})

gravity, using constraints derived from

H (z) / P a n t h e o n

samples. We consider a non-linear functional form for

f (R, L_{m})

, specifically given by

f (R, L_{m}) = \frac{R}{2} + L_{m}^{n}

, where

n

represents a free parameter in the model. Subsequently, we derive the solution for the Hubble parameter by investigating the parametrization of

q (z)

and then apply this solution to the modified Friedmann equations. Our analysis focuses on exploring the behavior of the EoS parameter across different stages of the universe’s evolution, including radiation, matter, and dark energy eras. Furthermore, our results confirm the quintessence nature of the universe’s current accelerated expansion phase (

- 1 < ω < - \frac{1}{3}

), supporting the role of quintessence in driving the universe’s current acceleration. We also explore the redshift dependence of the deceleration parameter, statefinder,

O m (z)

diagnostics, energy density, pressure, and energy conditions to determine the universe’s accelerating behavior. Importantly, our findings suggest that the linear redshift parametrization of

q (z)

, supported by additional terms in

f (R, L_{m})

gravity, provides a compelling alternative to the cosmological constant.

gravity
Deceleration parameter
Observational constraints
Dark energy

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