Couplingq-Deformed Dark Energy to Dark Matter

Abstract

We propose a novel coupled dark energy model which is assumed to occur as aq-deformed scalar field and investigate whether it will provide an expanding universe phase. We consider theq-deformed dark energy as coupled to dark matter inhomogeneities. We perform the phase-space analysis of the model by numerical methods and find the late-time accelerated attractor solutions. The attractor solutions imply that the coupledq-deformed dark energy model is consistent with the conventional dark energy models satisfying an acceleration phase of universe. At the end, we compare the cosmological parameters of deformed and standard dark energy models and interpret the implications.

Effective approach for taking into account interactions of quasiparticles from the low-temperature behavior of a deformed fermion-gas model

“…In 1993, Strominger proposed in[80] that the quantum statistics of charged, extremal black holes is a deformed one obeying a special q-deformed quantum commutation relation. Starting from such an idea, solution of the one and two-parameter deformed Einstein equations and its application to the extremal quantum black holes have been discussed in[81,82]. Hence, in the framework of such studies, our results in this work could lead to new physical insights in studies on a possible formulation of the quantum black hole thermodynamics, particularly for approximating the quantum statistics of horizon of black holes with an appropriate form for the intermediate-statistics similar to the one introduced in Eq (18)…”