How much electric surcharge fits on … a “white dwarf” star?

Abstract

The question of how much surplus of electric charge (“surcharge”) fits on an object is generally very difficult to answer. Here, it is shown that it is easy to answer when the object is a failed white dwarf star (a brown dwarf in its ground state) made of protons and electrons: Given the number of protons, how many electrons can there be? Surprisingly, the answer (in the form: as few as A and as many as B) is independent of the speed of light c and the Planck quantum h, even when the star is stabilized against collapse by relativistic quantum mechanics.

A Two Species Thomas-Fermi Model for Stellar Ground States

“…This model can be used to describe the ground state of a white dwarf star. We will, however, not dwell on the physical motivation and justifications for this model: for a more detailed introduction to its motivation, see [9] or [10].…”

General Relativistic Non-Neutral White Dwarf Stars

“…where N e and N p are the total number of electrons and protons, and G is Newton's gravitational constant. See also [21] for more details on these bounds. It was speculated that such bounds would also hold in the general relativistic case.…”