Rotating scalarized black holes in scalar couplings to two topological terms
De-Cheng Zou, Yun Soo Myung
Abstract
The tachyonic instability of the Kerr black holes is analyzed in the Einstein-scalar theory with the quadratic scalar couplings to two topological terms which are parity-even Gauss-Bonnet and parity-odd Chern-Simons terms. For positive coupling α, we use the (2+1)-dimensional hyperboloidal foliation method to derive the threshold curve which is the boundary between stable and unstable Kerr black holes by considering a spherically symmetric scalar-mode perturbation. In case of negative coupling, a newly bound of a≥0.26 with a the rotation parameter is found for unstable Kerr black holes and its threshold curve is derived.
Topics & Concepts
PhysicsParity (physics)Foliation (geology)Mathematical physicsScalar (mathematics)Rotating black holeScalar fieldInstabilityClassical mechanicsQuantum mechanicsGeometryMathematicsAngular momentumMetamorphic rockGeologyGeochemistryBlack Holes and Theoretical PhysicsPulsars and Gravitational Waves ResearchAstrophysical Phenomena and Observations