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Myung, Yun Soo; Zou, De-Cheng

Black holes in Gauss-Bonnet and Chern-Simons-scalar theory. (English) Zbl 1432.83043

Int. J. Mod. Phys. D 28, No. 9, Article ID 1950114, 14 p. (2019).
Summary: We carry out the stability analysis of the Schwarzschild black hole in Gauss-Bonnet and Chern-Simons-scalar theory. Here, we introduce two quadratic scalar couplings \((\phi_1^2\), \(\phi_2^2)\) to Gauss-Bonnet and Chern-Simons terms, where the former term is parity-even, while the latter one is parity-odd. The perturbation equation for the scalar \(\phi_1\) is the Klein-Gordon equation with an effective mass, while the perturbation equation for \(\phi_2\) is coupled to the parity-odd metric perturbation, providing a system of two coupled equations. It turns out that the Schwarzschild black hole is unstable against \(\phi_1\) perturbation, leading to scalarized black holes, while the black hole is stable against \(\phi_2\) and metric perturbations, implying no scalarized black holes.

Cited in 4 Documents

MSC:

83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
83C57 Black holes

Keywords:

scalarized black holes; stability of black holes; Gauss-Bonnet and Chern-Simons gravity
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References:

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