Constrained transit cosmological models in $f(R,L_m,T)$-gravity

Abstract

In the present paper, we investigate constrained transit cosmological models in the most recent proposed modified gravity theory, $f(R,L_m,T)$-gravity. We obtain the modified field equations for a flat homogeneous and isotropic Friedmann-Lema\^ıtre-Robertson-Walker (FLRW) spacetime metric. We constrain the equation of continuity by imposing the equation of state for the perfect fluid source $p=-\frac{1}{3}\rho +p_0$ so that we get energy conservation equation as $\dot{\rho }+3H(\rho +p)=0$, (because generally, energy conservation law is not satisfied in $f(R,L_m,T)$-gravity). Using this constraint, we establish a relation between the energy density parameters ${\Omega }_{m0}$, ${\Omega }_{r0}$, and ${\Omega }_{f0}$ and the Hubble function. After that, we made observational constraints on $H(z)$ to obtain the best-fit present values of ${\Omega }_{m0}$, ${\Omega }_{r0}$, and $H_0$. Then, we use these best-fit values of energy parameters to investigate cosmological parameters such as the deceleration parameter, the effective equation of state ${\omega }_{eff}$, and the energy density parameters ${\Omega }_m$, ${\Omega }_r$, and ${\Omega }_f$ to learn more about the components and history of the expanding universe. We found an effective EoS parameter in the range $-1\le {\omega }_{eff}\le \frac{1}{3}$ with a deceleration-acceleration transition redshift value of $z_t=0.6377,0.6424$ along two datasets cosmic chronometer (CC) and Pantheon SNIa, respectively.

21 pages, 6 figures

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