The μ-Deformed Einstein Field Equations with μ-Dependent Effective Cosmological Constant
DOI:
https://doi.org/10.15407/ujpe70.12.831Keywords:
μ-calculus, entropic force, gravity, μ-Bose gas model, effective cosmological constant, dark matterAbstract
In this paper, we derive the μ-deformed Einstein field equations from the generalized thermodynamic functions of the μ-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 μ-deformation. Namely, viewing the derived μ-deformed CC as an effective one and varying the parameter μ 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.
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