Energy extraction in electrostatic extreme binary black holes

TL;DR

This paper investigates the potential for energy extraction from a binary system of oppositely charged extreme electrostatic black holes using the Penrose process, analyzing the ergosphere, particle orbits, and efficiency of energy extraction.

Contribution

It introduces a model of energy extraction in a binary electrostatic black hole system with a detailed analysis of the ergosphere and negative energy orbits, extending previous black hole energy extraction studies.

Findings

Existence of non-closed negative energy orbits outside the event horizon.

Energy extraction possible when test particle and black hole have opposite charges.

Quantitative analysis of the efficiency of the energy extraction process.

Abstract

Relying on the Penrose process mechanism, we study the possibility of energy extraction from a binary system composed of two extreme electrostatic black holes (BHs) oppositely charged, separated by a strut described by Bonnor's metric (BM). We determined and plotted the generalized ergosphere that surrounds only one of the BH. We demonstrate the existence of non closed orbits of negative energy outside the event horizon; these orbits allow the possibility of energy extraction by particle disintegration from a system described by the BM. Besides we prove that the extraction process can occur when a charged test particle and the BH have opposite charges; also, we analyzed the efficiency of the process.