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.

12 pages, 3 figures

References in corpus (3)

• Spontaneously scalarised Kerr black holes
• Radial perturbations of the scalarized black holes in Einstein-Maxwell-conformally coupled scalar theory
• Black holes in Gauss-Bonnet and Chern-Simons-scalar theory

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