Instability of massive scalar fields in Kerr-Newman spacetime

Hironobu Furuhashi, Yasusada Nambu

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152 Citations (Scopus)


We investigate the instability of charged massive scalar fields in Kerr-Newman spacetime. Due to the super-radiant effect of the background geometry, the bound state of the scalar field is unstable, and its amplitude grows in time. By solving the Klein-Gordon equation of the scalar field as an eigenvalue problem, we numerically obtain the growth rate of the amplitude of the scalar field. Although the dependence of the scalar field mass and the scalar field charge on this growth rate agrees with the result of the analytic approximation, the maximum value of the growth rate is three times larger than that of the analytic approximation. We also discuss the effect of the electric charge on the instability of the scalar field.

Original languageEnglish
Pages (from-to)983-995
Number of pages13
JournalProgress of Theoretical Physics
Issue number6
Publication statusPublished - Dec 2004
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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