Abstract
This paper reveals about a stable flat cosmological model which has been constructed, and the evolution of dark energy has been investigated in the framework of the recently suggested non-Lagrangian
κ
(
R
,
T
)
modified gravity (Terule, Eur Phys J C 78:660, 2018). The toy model we are presenting in the current work reveals some interesting cosmological features consistent with observations and the standard
Λ
CDM model. The evolution of cosmic pressure shows a positive-to-negative transition corresponding to the cosmic deceleration–acceleration transition. Both the deceleration parameter and the cosmic pressure have the positive-to-negative sign flipping. While this behavior can provide explanation for the deceleration–acceleration transition, the reason behind this positive-negative transition itself is still missing. The current model implies a very small positive value for the cosmological constant which also agrees with observations.