Revisiting the Penrose Process in Rotating Black Holes with Quantum Corrections: Implications for Energy Extraction and Irreducible Mass

TL;DR

This paper investigates how quantum corrections modify the energy extraction process from rotating black holes, revealing increased efficiency and changes in the ergoregion that differ from classical Kerr black hole predictions.

Contribution

It introduces a quantum-corrected black hole model and analyzes its impact on the Penrose process, showing enhanced energy extraction and altered horizon geometry.

Findings

Maximum extraction efficiency of 11.64%

Quantum corrections expand the ergoregion

Irreducible mass constrains extractable energy

Abstract

We explore the extraction of energy from a rotating black hole spacetime modified by a quantum correction parameter \( \alpha \). Focusing on particle splitting within the ergoregion, we analyze the Penrose process and compute the extraction efficiency \( \eta \) as a function of both the spin parameter \( a \) and the quantum correction parameter \( \alpha \). Our results show that increasing \( \alpha \) induces an inward shift of the event horizon and the static limit, resulting in a modest expansion of the ergoregion. This geometric change significantly enhances the energy extraction potential. By numerically solving the horizon equation, we determine a maximum extraction efficiency of 11.64\%. Additionally, we derive the expression for the irreducible mass, highlighting its fundamental role in constraining the amount of extractable rotational energy. Overall, our findings demonstrate that quantum corrections have a substantial impact on black hole energetics, leading to marked deviations from predictions based on classical Kerr theory.