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Axiverse and Black Hole

Hideo Kodama, Hirotaka Yoshino

TL;DR

This work surveys the axiverse, a landscape of ultralight axions predicted by string/M-theory, and highlights black-hole superradiance as a robust, testable cosmophysical phenomenon. By analyzing the massive-scalar Klein–Gordon equation in Kerr backgrounds, it derives instability conditions and growth rates across large- and small-mass regimes, and demonstrates how axion clouds around astrophysical black holes can emit gravitational waves and undergo nonlinear phenomena such as bosenova. The paper identifies an instability strip in the $\mu$–$M$ plane and describes the gravitational atom (G-atom) picture, where axion bound states around black holes form quantum-like systems with observable GW signatures. These insights provide a potential route to probe string compactifications and the ultimate theory through upcoming gravitational-wave observations and black-hole spin studies. The results emphasize the interplay between high-energy theory, BH physics, and cosmophysical data in testing fundamental physics.

Abstract

String theory/M-theory generally predicts that axionic fields with a broad mass spectrum extending below 10^{-10}eV are produced after compactification to four dimensions. These axions/fields provoke a rich variety of cosmophysical phenomena on different scales depending on their masses and provide us new windows to probe the ultimate theory. In this article, after overviewing this axiverse idea, I take up the black hole instability as the most fascinating one among such axionic phenomena and explain its physical mechanism and astrophysical predictions.

Axiverse and Black Hole

TL;DR

This work surveys the axiverse, a landscape of ultralight axions predicted by string/M-theory, and highlights black-hole superradiance as a robust, testable cosmophysical phenomenon. By analyzing the massive-scalar Klein–Gordon equation in Kerr backgrounds, it derives instability conditions and growth rates across large- and small-mass regimes, and demonstrates how axion clouds around astrophysical black holes can emit gravitational waves and undergo nonlinear phenomena such as bosenova. The paper identifies an instability strip in the plane and describes the gravitational atom (G-atom) picture, where axion bound states around black holes form quantum-like systems with observable GW signatures. These insights provide a potential route to probe string compactifications and the ultimate theory through upcoming gravitational-wave observations and black-hole spin studies. The results emphasize the interplay between high-energy theory, BH physics, and cosmophysical data in testing fundamental physics.

Abstract

String theory/M-theory generally predicts that axionic fields with a broad mass spectrum extending below 10^{-10}eV are produced after compactification to four dimensions. These axions/fields provoke a rich variety of cosmophysical phenomena on different scales depending on their masses and provide us new windows to probe the ultimate theory. In this article, after overviewing this axiverse idea, I take up the black hole instability as the most fascinating one among such axionic phenomena and explain its physical mechanism and astrophysical predictions.

Paper Structure

This paper contains 35 sections, 105 equations, 19 figures.

Figures (19)

  • Figure 1: Various axiverse windows.
  • Figure 2: Density parameter of axions as a function of $\mu$ and $f_a$
  • Figure 3: Black hole spacetime
  • Figure 4: Killing horizon
  • Figure 5: Horizon of a rotating black hole
  • ...and 14 more figures