Slowly rotating black holes and their scalarization

We study scalarization of slowly rotating black holes in the Einstein-scalar-Gauss-Bonnet (GB)-Chern-Simons (CS) theory. In slow rotation approximation $a\ll1$ with parameter $a$, GB term is given by a for Schwarzschild hole, whereas CS takes linear $a$. The tachyonic instability represents onset spontaneous scalarization. use (2+1)-dimensional hyperboloidal foliation method to show considering time evolution spherically symmetric scalar mode. A threshold (existence) curve obtained from constant modes under evolution, which means boundary between stable and unstable holes. It found that turn out be against scalar-mode propagation positive coupling $\alpha$. However, we could not find any $a$-bound negative