  It is agreed that Chandrasekhar mass and central density of white dwarfs are
independent, which means that there is a whole series of stars having radius
and central density as parameters that all have the same Chandrasekhar mass. In
this article the influence of a quantum gravity is shown so the Chandrasekhar
limits (mass and radius) depend explicitly on the central density and gravity
parameters. A new polytropic relation between degenerate pressure of the star
and its density is investigated. This leads to a modification in Lane-Emden
equation and mass and radius formulas of the star. A modified Lane-Emden
equation is solved numerically with consideration to the mass density of the
star depends on its radius. The solution used in calculating the mass and
radius limit of the white dwarf. It was found that mass and radius limits
decrease due to increase in central density and gravity parameters in a
comparison with the original values. We can say that central density and
quantum gravity constitute a new tool that can help to make the theoretical
values corresponding to experimental observations apply in a better manner.

General Physics