Onset of rotating scalarized black holes in Einstein-Chern-Simons-Scalar theory
Yun Soo Myung, De-Cheng Zou
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 (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.
Topics & Concepts
PhysicsChern–Simons theoryFoliation (geology)Mathematical physicsRotating black holeScalar (mathematics)Black hole (networking)Scalar fieldPerturbation (astronomy)EinsteinClassical mechanicsQuadratic equationQuantum mechanicsGeometryAngular momentumMathematicsRouting (electronic design automation)Computer scienceMetamorphic rockRouting protocolComputer networkGauge theoryGeologyGeochemistryLink-state routing protocolBlack Holes and Theoretical PhysicsPulsars and Gravitational Waves ResearchAstrophysical Phenomena and Observations