Quantum-Corrected Evaporation and Absorption Cross-Section of Near-Extremal Rotating Black Holes

TL;DR

This paper investigates quantum corrections to the evaporation process of near-extremal rotating black holes, revealing slowed decay rates and new features in emission spectra due to quantum effects in the near-horizon region.

Contribution

It introduces a quantum framework incorporating Schwarzian and gauge modes to analyze black hole evaporation, linking angular momentum and charge changes with quantum effects.

Findings

Quantum corrections slow down late-time evaporation rates.

Energy decay follows a power law $t^{-8/21}$ for certain black holes.

New features in quantum cross sections for rotating black holes.

Abstract

We revisit the Hawking evaporation history of low-temperature rotating black holes by taking into consideration the strong quantum fluctuations known to be present in the near-horizon, near-$\mathrm{AdS_2}$ throat region governed by an effective action that includes Schwarzian and two gauge modes. Imposing compatibility of this quantum framework with the semiclassical results creates a novel link of the black hole angular momentum and electric charge before and after emission, leading to a nontrivial interplay among the superradiance effect, eigenstate thermalization hypothesis and microscopic statistic description. We evaluate single scalar (neutral and charged) emission of Kerr-Newman and single and di-particle emission of photons, gravitons and spinors in the Kerr spacetime. We uncover that quantum corrections may affect late time evaporation rates, which further slows down the whole evaporation process because of the near-balance between the $s$-wave channel and the superradiance channel. Specifically, we find energy decay of the form $E(t)\sim t^{-8/21}$ for neutral scalar emission of a small, slowly rotating and charged black hole which differs from the analogous spherically symmetric quantum correction $E(t)\sim t^{-2/5}$ already suppressed with respect to the semiclassical rate $E(t)\sim t^{-1}$. We also discuss the quantum cross section for rotating black holes and point out various new features.