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

Abstract

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 ($\alpha >0$), 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 $\alpha <0$, it is shown that the Kerr black hole is unstable without any $\alpha$-independent bound on the rotation parameter $a$ when using the the hyperboloidal foliation method. The disappearance of the $a$-bound is confirmed analytically by implementing the (1+1)-dimensional linearized scalar equation.

arXiv comment12 pages, 3 figures

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• Gravitational Lensing by Black Holes with Multiple Photon Spheres
• Echoes from Hairy Black Holes
• Thermodynamics and Phase Structure of an Einstein-Maxwell-scalar Model in Extended Phase Space
• Superradiance Instabilities of Charged Black Holes in Einstein-Maxwell-scalar Theory
• Massive scalar field perturbation on Kerr black holes in dynamical Chern-Simons gravity
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• Scalarization of slowly rotating black holes
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• Holographic Superconductors in a Non-minimally Coupled Einstein-Maxwell-scalar Model