Compact stars in quantum spacetime

Abstract

Wederive bounds on the deformation parameter of the spacetime by analyzing the effect of noncommutativity on astrophysical model.Westudy compact stars, taken to be degenerate Fermi gas, in non-commutative spacetime. Using tools of statistical mechanics, we derive the degeneracy pressure of the compact star in spacetime and from the hydrostatic equilibrium conditions we obtain a bound on the deformation parameter.Weindependently derive this bound using generalized uncertainty principle, which is a characteristic feature of quantum gravity approaches, strengthening the bound obtained.