Investigating the dark energy phenomenon in $f(R,L_m)$ cosmological models with observational constraints

Abstract

This paper explores the dark energy phenomenon within the context of $f(R,L_m)$ gravity theory. Two specific non-linear $f(R,L_m)$ models are considered: $f(R,L_m)=\frac{R}{2}+L_m^{\alpha }$ and $f(R,L_m)=\frac{R}{2}+(1+\alpha R)L_m$, where the parameter $\alpha$ is free. Here, we adopt a parametrization form for the Hubble parameter in terms of redshift $z$ as $H(z)=H_0{\left[A(1+z{)}^3+B+\epsilon \log (1+z)\right]}^{\frac{1}{2}}$, which allows for deviations from the standard $\Lambda$CDM model at both low and high redshifts. We then incorporate the Hubble parameter solution into the Friedmann equations for both models. We employ Bayesian analysis to estimate the constraints on the free parameters $H_0$, $A$, $B$, and $\epsilon$ using the Hubble measurements and the Pantheon dataset. Further, we investigate the evolution of key cosmological quantities, such as the deceleration parameter, energy density, pressure, EoS parameter, and energy conditions. The evolution of the deceleration parameter reveals a significant transition from a decelerating phase to an accelerating phase in the Universe. The EoS parameter exhibits quintessence-like behavior for both non-linear $f(R,L_m)$ models.

Physics of Dark Universe accepted version

References in corpus (27)

• The Confrontation between General Relativity and Experiment
• f(R,T) gravity
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Extra force in $f(R)$ modified theories of gravity
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• f(R,L_m) gravity
• Are f(R) dark energy models cosmologically viable ?
• Large Scale Structure as a Probe of Gravitational Slip
• Modified gravity with arbitrary coupling between matter and geometry
• Generalized curvature-matter couplings in modified gravity
• Solar system constraints on f(T) gravity
• The simplest non-minimal matter-geometry coupling in the $f(R,T)$ cosmology
• Anisotropic nature of space-time in $f(Q)$ gravity
• Observational constraints on two cosmological models of $f(Q)$ theory
• Cosmic acceleration and energy conditions in $\Lambda$CDM symmetric teleparallel $f(Q)$ gravity
• A new parametrization of Hubble parameter in $f(Q)$ gravity
• Late-time acceleration in $f\left(Q\right)$ gravity: Analysis and constraints in an anisotropic background
• Static traversable wormhole solutions in $f(R,L_m)$ gravity
• Constrained $f(Q,T)$ gravity accelerating cosmological model and its dynamical system analysis
• Constant sound speed and its thermodynamical interpretation in $f(Q)$ gravity
• Accelerating Universe scenario in anisotropic $f\left(Q\right)$ cosmology
• Palatini formulation of the conformally invariant $f\left(R,L_m\right)$ gravity theory
• Quark stars with 2.6 $M_{\odot }$ in a non-minimal geometry-matter coupling theory of gravity
• Cosmological constraints on dark energy in $f(Q)$ gravity: A parametrized perspective
• Baryogenesis in $f(R,L_m)$ gravity
• Analytic Solutions and Observational support: A study of $f(R,T)$ gravity with $f(R,T)=R+h(T)$
• The Standard Model Coupled to Quantum Gravitodynamics

Cited by in corpus (13)

• Late-time cosmology in $f(Q,L_m)$ gravity: Analytical solutions and observational fits
• Constraining $f(Q,L_m)$ gravity with bulk viscosity
• Observational analysis of late-time acceleration in $f(Q,L_m)$ gravity
• Observational constraints on the equation of state of viscous fluid in $f(R,T)$ gravity
• Nonlinearly charged black holes: Shadow and Thin-accretion disk
• Constraints on anisotropic properties of the universe in $f(Q,T)$ gravity theory
• Moment of inertia and compactness of quark stars within the context of $f(R,T,L_m)$ gravity
• Modified cosmology in $f(Q,L_m)$ gravity
• Bouncing behavior in $f(R,L_m)$ gravity: Phantom crossing and energy conditions
• Energy conditions in $f(Q,L_m)$ gravity
• Growth of cosmic perturbations in the modified $f(R,T)$ gravity
• Cosmological model with Gong-Zong Parametrization in $f(R,L_m)$ gravity
• A Comparative Test of the LCDM and R_h=ct Cosmologies Based on Upcoming Redshift Drift Measurements