Holographic dark energy in non-conserved gravity theory

Recently, reconsidering the Rastall idea T mu ; nu nu = a , mu through relativistic thermodynamics gives a new form for the scalar field a which led us to construct modern modified theory of gravity debugged 'non-conserved gravity theory' Fazlollahi 2023 Euro. Phys. J. C 83 923. This theory unlike other modified theories of gravity cannot directly explain the current acceleration expansion in the absence of the cosmological constant and or existence of other forms of dark energy. Hence, in this study we have reinvestigated holographic dark energy rho X similar to H 2 in the non-conserved theory of gravity. In this context, the density and pressure of dark energy depend on the non-conserved term and density of the dust matter field. As shown, due to non-conservation effects on large-scale structures, unlike the original holographic model, our model onsets an acceleration epoch for the current Universe satisfies observations. Moreover, the interaction and viscous scenarios are studied for this model.