The $μ$-deformed Einstein field equations with $μ$-dependent effective cosmological constant

O. P. Mykhailiv; Yu. A. Mishchenko; A. M. Gavrilik

Paper

The $μ$-deformed Einstein field equations with $μ$-dependent effective cosmological constant

Abstract

In this paper, we derive the

-deformed Einstein field equations from the generalized thermodynamic functions of the

-deformed analog of Bose gas model, applying the (adapted) Verlinde's approach. The basic role of deformation parameter is shown: it provides the possibility to vary the value of the cosmological constant. Due to this, we suggest an interesting treatment of the cosmological constant (CC) problem within the framework of

-deformation. Namely, viewing the derived

-deformed CC as an effective one and varying the parameter

appropriately, we gain the possibility to drastically reduce the CC, so as to get for it the realistic value. The relation to dark matter is of importance.