Electrically nonneutral ground states of stars

General Relativistic Non-Neutral White Dwarf Stars

“…The usual assumption [6] of local neutrality was not made, and this led to solutions which are not globally neutral. [2] was interested in applying this model to white dwarfs, in particular using the nonrelativistic '5/3' polytropic pressure law derived from Fermi-Dirac statistics. However, they noted that, as the heavier ions in a white dwarf are bosons, such a pressure law does not apply to them.…”

“…However, they noted that, as the heavier ions in a white dwarf are bosons, such a pressure law does not apply to them. [2] subsequently studied in greater detail the two-fluid model consisting of only electrons and protons, noting that such a model would be an approximation to a small range of 'brown dwarf' stars. In that paper, it was noted that, for a wide range of pressure laws including the '5/3' and special relativistic laws discussed in [6], there is a simple set of bounds on the total amount of charge such a star can hold in its ground state configuration.…”

“…general relativistic analogue of system (1) and (2). To do this, we apply the framework developed by Olson and Bailyn in a series of papers [3], [4], and [5].…”

“…Subsequently, the system presented there is incorrect, although it appears the correct system was used for the numerical computations. In section II we review this framework and present the corrected system of equations, in section III compare this system to the special relativistic version of ( 1) and (2), in section IV we extend the charge bounds results of [2], in section V we present the result of numerical calculations, in section VI we discuss how these results apply to neutron stars, and in section VII we conclude.…”

“…Aside from being explicitly in the vein of [1], [2], [3], [4], and [5], this paper can also be related to other lines of research. There is a large literature on interior solutions to the exterior Reissner-Nordström metric.…”