Cosmic evolution in the background of non-minimal coupling in $f(R,T,R_{\mu \nu }T^{\mu \nu })$ gravity
Tóm tắt
In this manuscript, we are interested to address the issue of cosmic expansion in the background of matter-geometry coupling. For this purpose we consider
$f(R,T,Q)$
modified theory (where
$R$
is the Ricci Scalar,
$T$
is the trace of energy-momentum tensor (EMT)
$T_{uv}$
and
$Q=R_{uv}T^{uv}$
is interaction of EMT
$T_{\mu \nu }$
and Ricci Tensor
$R_{uv}$
). We formulate modified field equations in the background of flat Friedmann-Lemaître-Robertson-Walker (FLRW) model which is defined as
$ds^{2}=dt^{2}-a(t)^{2}(dx^{2}+dy^{2}+dz^{2} )$
, where
$a(t)$
represents the scale factor. In this formalism energy density is found using covariant divergence of modified field equations.
$\rho $
involves a contribution from non-minimal matter geometry coupling which helps to study different cosmic eras based on equation of state (EOS). Furthermore, we apply the energy bounds to constrain the model parameters establishing a pathway to discuss the cosmic evolution for best suitable parameters in accordance with recent observations.
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