Quantum Work and Information Geometry of a Quantum Myers-Perry Black Hole

Abstract

In this paper, we will obtain quantum work for a quantum scale five dimensional Myers-Perry black hole. Unlike heat represented by Hawking radiation, the quantum work is represented by a unitary information preserving process, and becomes important for black holes only at small quantum scales. It will be observed that at such short distances, the quantum work will be corrected by non-perturbative quantum gravitational corrections. We will use the Jarzynski equality to obtain this quantum work modified by non-perturbative quantum gravitational corrections. These non-perturbative corrections will also modify the stability of a quantum Myers-Perry black hole. We will define a quantum corrected information geometry by incorporating the non-perturbative quantum corrections in the information geometry of a Myers-Perry black hole. We will use several different quantum corrected effective information metrics to analyze the stability of a quantum Myers-Perry black hole.

22, pages, 9 figures. Accepted for publication in JHEP

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• Quantum Thermodynamics of an M2-M5 Brane System
• Non-perturbative correction on the black hole geometry
• Thermodynamic geometry of static and rotating regular black holes in conformal massive gravity
• Thermodynamics and Joule-Thomson Expansion for Schwarzschild-AdS Black Holes with Cloud of Strings and Quintessential-like Fluid
• On the microstructure of higher-dimensional Reissner-Nordström black holes in quantum regime
• Non-perturbative correction to thermodynamics of conformally dressed 3D black hole
• Information Theoretical Approach to Detecting Quantum Gravitational Corrections