Spinning and excited black holes in Einstein-scalar-Gauss–Bonnet theory

Abstract We construct rotating black holes in Einstein-scalar-Gauss–Bonnet theory with a quadratic coupling function. We map the domain of existence of the rotating fundamental solutions, we construct radially excited rotating black holes (including their existence lines), and we show that there are angularly excited rotating black holes. The bifurcation points of the radially and angularly excited solutions branching out of the Schwarzschild solution follow a regular pattern.