Kerr black hole energy extraction, irreducible mass feedback, and the effect of captured particles charge

TL;DR

This paper investigates how a charged Kerr black hole interacts with magnetic fields and matter, revealing a cyclic energy extraction process that is more efficient than gravitational mechanisms like the Penrose process.

Contribution

It introduces a novel electrodynamical cycle involving charge accretion and region size changes that enhances rotational energy extraction from Kerr black holes.

Findings

Cyclic behavior leads to repeated energy extraction from the black hole.

Electrodynamical process results in a limited increase of the irreducible mass.

The mechanism is more efficient than gravitational energy extraction methods.

Abstract

We analyze the extraction of the rotational energy of a Kerr black hole (BH) endowed with a test charge and surrounded by an external test magnetic field and ionized low-density matter. For a magnetic field parallel to the BH spin, electrons move outward (inward) and protons inward (outward) in a region around the BH poles (equator). For zero charge, the polar region comprises spherical polar angles $-60^\circ\lesssim \theta \lesssim 60^\circ$ and the equatorial region $60^\circ\lesssim \theta \lesssim 120^\circ$. The polar region shrinks for positive charge, and the equatorial region enlarges. For an isotropic particle density, we argue the BH could experience a cyclic behavior: starting from a zero charge, it accretes more polar protons than equatorial electrons, gaining net positive charge, energy, and angular momentum. Then, the shrinking(enlarging) of the polar(equatorial) region makes it accrete more equatorial electrons than polar protons, gaining net negative charge, energy, and angular momentum. In this phase, the BH rotational energy is extracted. The extraction process continues until the new enlargement of the polar region reverses the situation, and the cycle repeats. We show that this electrodynamical process produces a relatively limited increase of the BH irreducible mass compared to gravitational mechanisms like the Penrose process, hence being a more efficient and promising mechanism for extracting the BH rotational energy.