Nonlinear evolutions of bosonic clouds around black holes

Hirotada Okawa*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


Black holes are a laboratory not only for testing the theory of gravity but also for exploring the properties of fundamental fields. Fundamental fields around a supermassive black hole give rise to extremely long-lived quasi-bound states which can in principle extract the energy and angular momentum from the black hole. To investigate the final state of such a system, the backreaction onto the spacetime becomes important because of the nonlinearity of the Einstein equation. In this paper, we review the numerical method to trace the evolution of massive scalar fields in the vicinity of black holes, how such a system originates from scalar clouds initially in the absence of black holes or from the capture of scalar clouds by a black hole, and the evolution of quasi-bound states around both a non-rotating black hole and a rotating black hole including the backreaction.

Original languageEnglish
Article number214003
JournalClassical and Quantum Gravity
Issue number21
Publication statusPublished - 2015 Oct 15


  • black holes
  • fundamental fields
  • numerical relativity
  • superradiance

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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