Accelerating boundary analog of a Kerr black hole

TL;DR

This paper derives an accelerating boundary model for Kerr black holes, revealing a thermal particle spectrum with lower temperature than Schwarzschild black holes and constant energy flux, advancing understanding of quantum effects near rotating black holes.

Contribution

It introduces a new accelerating boundary correspondence for Kerr spacetime, generalizing from Schwarzschild to extremal spin cases, and analyzes quantum particle spectra and energy flux.

Findings

Particle spectrum is a Planck distribution at late times.

Temperature is lower than that of a Schwarzschild black hole.

Energy flux remains constant at late times.

Abstract

An accelerated boundary correspondence (i.e. a flat spacetime accelerating mirror trajectory) is derived for the Kerr spacetime, with a general formula that ranges from the Schwarzschild limit (zero angular momentum) to the extreme maximal spin case (yielding asymptotic uniform acceleration). The beta Bogoliubov coefficients reveal the particle spectrum is a Planck distribution at late times with temperature cooler than a Schwarzschild black hole, due to the "spring constant" analog of angular momentum. The quantum stress tensor indicates a constant emission of energy flux at late times consistent with eternal thermal equilibrium.