Rotating scalarized black holes in scalar couplings to two topological terms

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 $\alpha$, 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 $a\ge 0.26$ with $a$ the rotation parameter is found for unstable Kerr black holes and its threshold curve is derived.

arXiv comment13 pages, 3 figures, version to appear in PLB

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Cited by in corpus (7)

• Nonlinearly scalarized rotating black holes in Einstein-scalar-Gauss-Bonnet theory
• Spin-Charge induced spontaneous scalarization of Kerr-Newman black holes
• Axion induced angular momentum reversal in Kerr-like black holes
• Spin-induced scalarization of Kerr-Newman black holes in Einstein-Maxwell-scalar theory
• Slowly rotating black holes and their scalarization
• Thermodynamics and phase transitions of nonlinearly scalarized black holes in Einstein-scalar-Gauss-Bonnet theory
• Scalarization of Chern-Simons Kerr Black Hole Solutions and Wormholes