Onset of rotating scalarized black holes in Einstein-Chern-Simons-Scalar theory

We perform the stability analysis of the Kerr black hole in the Einstein-Chern-Simons-Scalar theory with quadratic scalar coupling. For positive coupling parameter (α>0), we introduce the (2+1)-dimensional hyperboloidal foliation method to show that the Kerr black hole is unstable against scalar-...

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Bibliographic Details
Published inPhysics letters. B Vol. 814; p. 136081
Main Authors Myung, Yun Soo, Zou, De-Cheng
Format Journal Article
LanguageEnglish
Published Elsevier B.V 10.03.2021
Elsevier
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Summary:We perform the stability analysis of the Kerr black hole in the Einstein-Chern-Simons-Scalar theory with quadratic scalar coupling. For positive coupling parameter (α>0), we introduce the (2+1)-dimensional hyperboloidal foliation method to show that the Kerr black hole is unstable against scalar-mode perturbation. In case of α<0, it is shown that the Kerr black hole is unstable without any α-independent bound on the rotation parameter a when using the hyperboloidal foliation method. The disappearance of the a-bound is confirmed analytically by implementing the (1+1)-dimensional linearized scalar equation.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2021.136081