Spontaneous scalarization of Gauss-Bonnet black holes surrounded by massive scalar fields

Abstract

For massless scalar fields, a relation ${\Delta }_n=\frac{\sqrt{3}}{2}\pi$ for $n\to \infty$ was observed in the scalar-Gauss-Bonnet theory. In the present paper, we extend the discussion by including a nonzero scalar field mass. For massive scalar fields, we show that the relation ${\Delta }_n=\frac{\sqrt{3}}{2}\pi$ for $n\to \infty$ still holds. We demonstrate this relation with both analytical and numerical methods. The analytical analysis implies that this relation may be a very universal behavior.

arXiv comment8 pages, 1 figure

References in corpus (34)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• Spontaneous scalarization of black holes and compact stars from a Gauss-Bonnet coupling
• New Gauss-Bonnet black holes with curvature induced scalarization in the extended scalar-tensor theories
• Black hole hair in generalized scalar-tensor gravity
• Evasion of No-Hair Theorems and Novel Black-Hole Solutions in Gauss-Bonnet Theories
• Spontaneous scalarisation of charged black holes
• Spontaneously scalarised Kerr black holes
• No hair for spherical black holes: charged and nonminimally coupled scalar field with self--interaction
• Spontaneous scalarisation of charged black holes: coupling dependence and dynamical features
• Radial perturbations of the scalarized EGB black holes
• Self-interactions and Spontaneous Black Hole Scalarization
• Scalarized black holes in the presence of the coupling to Gauss-Bonnet gravity
• Hairy Black Holes and Null Circular Geodesics
• Instability of Reissner-Nordström black hole in Einstein-Maxwell-scalar theory
• Black holes have no short hair
• Charged Gauss-Bonnet black holes with curvature induced scalarization in the extended scalar-tensor theories
• Axial perturbations of the scalarized Einstein-Gauss-Bonnet black holes
• Stability of scalarized charged black holes in the Einstein-Maxwell-Scalar theory
• Scalarized charged black holes with scalar mass term
• Black hole scalarisation from the breakdown of scale-invariance
• The scalarised Schwarzschild-NUT spacetime
• Spontaneous scalarization of Gauss-Bonnet black holes: Analytic treatment in the linearized regime
• Scalarization of horizonless reflecting stars: neutral scalar fields non-minimally coupled to Maxwell fields
• Marginally bound resonances of charged massive scalar fields in the background of a charged reflecting shell
• No nonminimally coupled massless scalar hair for spherically symmetric neutral black holes
• Scalar hairy black holes in Einstein-Maxwell-conformally coupled scalar theory
• No hair for spherically symmetric neutral black holes: nonminimally coupled massive scalar fields
• Hair mass bound in the black hole with nonzero cosmological constants
• Stationary bound-state scalar configurations supported by rapidly-spinning exotic compact objects
• Gauss-Bonnet black holes supporting massive scalar field configurations: The large-mass regime
• Shape dependence of spontaneous scalarization
• Charged scalar-tensor solitons and black holes with (approximate) Anti-de Sitter asymptotics
• Analytical investigations on formations of hairy neutral reflecting shells in the scalar-Gauss-Bonnet gravity

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• Embedding Gauss-Bonnet scalarization models in higher dimensional topological theories