Reissner–Nordström expansion

Daemon decay and inflation

“…Under minute density fluctuation in the volume density of one type of charges at some point, the domain of all other like charges within radius r − are trapped gravitationally into a cluster. We will call this domain a daemon (for dark electric matter objects, as introduced by [9], and in line with our previous work [5,6] on Reissner-Nordström expansion). There will be no charges of this type between r − and r + , while charges of this type on the outside of r + would be strongly repelled.…”

“…However, in view of the parameters involved, q/m 1, thus A 1/4, and such situation cannot be achieved. To address the issue of bound states for equation (5) for the case A > 1/4, we will follow the steps of [10]. We introduce k 2 = √ −2mE/h.…”

“…There is no inner turning radius r − for particles of specific charge q/m such that sign(Q)q/m < 1. For particles such that sign(Q)q/m < −1, there is neither inner turning radius, nor outer turning radius [5,6,7]. Such particles will fly unopposed into the centre.…”

“…We will be interested in the case of a naked singularity only, namely: |Q| > M . The radial motion of an ultra-relativistic test particle of mass m and charge q in Reissner-Nordström geometry can be modeled by an effective one-dimensional motion of a particle in non-relativistic mechanics with the following equation of motion [5,6,7] (see also [8] for Schwarzschild geometry) :…”

“…Equation (2) determines the region (r − , r + ) within which classical motion is impossible. The turning radii are given by [5,6,7]:…”