q-Deformed Einstein equations

Abstract

In this study, we consider three independent physical studies and try to combine them to find an interesting result. Ubriaco's q-deformed bosons and Verlinde's entropic gravity studies are taken into account to find the deformed Einstein equations for describing the gravitational field of deformed objects, such as, Strominger's black holes obeying the deformed Bose or Fermi statistics. We consider the gravitation as an entropic force, as in Verlinde's approach and assume the source of gravitation is the q-deformed bosons of Ubriaco. Consequently, we obtain the deformed Einstein equations for these deformed bosons by considering the gravitation as an entropic force.