Decay of charged particles near naked singularities and super-Penrose process without fine-tuning

TL;DR

This paper investigates the Penrose process near naked singularities in Reissner-Nordström spacetime, demonstrating that energy extraction can be unbounded as the decay point approaches the singularity, even with bounded particle charge.

Contribution

It shows that the Penrose process can yield infinite energy extraction near naked singularities without requiring fine-tuning or unbounded particle charge.

Findings

Energy extraction can be arbitrarily large near the singularity.

Bounded particle charge suffices for unlimited energy gain.

The effect persists even in flat spacetime limit.

Abstract

We consider the Penrose process near the naked singularity in the Reissner-Nordstr\"{o}m metric. Particle 0 falls from infinity and decays to two fragments at some point $r_{0}$. We show that the energy extraction due to this process can be indefinitely large in the limit $r_{0}\rightarrow 0$. In doing so, the value of the particle charge can remain bounded, in contrast to the previously known examples of the Penrose process in the electric field with unbounded energy extraction. The effect persists even in the limit of the flat pace-time.