White dwarfs and generalized uncertainty principle

Abstract

This work is motivated by the sign problem in a logarithmic parameter of black hole entropy and the existing more massive white dwarfs than the Chandrasekhar mass limit. We examine the quadratic, linear, and linear-quadratic generalized uncertainty principle (GUP) models within the virtue of recent masses and radii of white dwarfs. We consider the modification generated by introducing the minimal length proposal on the degenerate Fermi gas equation of state (EOS) and on the hydrostatic equation. For the latter, we applied Verlinde's proposal regarding entropic gravity to derived the quantum corrected Newtonian gravity which in turn responsible for modifying the hydrostatic equation. Through the chi-square analysis of the models, we have found that the observation data favor the quadratic dan linear GUP models without mass limit. However, for the quadratic-linear GUP model, we can obtain the positive value of the free parameter $γ_0$ as well as we can get mass limit more massive than the Chandrasekhar mass limit. In the linear-quadratic GUP model, the formation of stable massive white dwarfs than the Chandrasekhar limit is possible only if both parameters are not equal.