Shape dependence of spontaneous scalarization

Abstract

Spontaneous scalarization is an interesting mechanism for modification of gravity by nonminimal coupling of a scalar field to matter or curvature invariants in the context of scalar-tensor theories, and its onset is signaled by linear instability of the scalar field around the corresponding general relativity solution. We thus perform the linear stability analysis of the scalar field about general relativity solutions and highlight a crucial difference between a spherically symmetric profile and a planar symmetric profile. We clarify that the critical value for the instability is sensitive to the morphology and that the spontaneous scalarization occurs much more easily with the planar symmetric shape than with the spherically symmetric shape.

13 pages, 4 figures; matches published version

References in corpus (7)

• Spontaneous scalarisation of charged black holes
• Neutron-star mergers in scalar-tensor theories of gravity
• General Relativity solutions in modified gravity
• The scalarised Schwarzschild-NUT spacetime
• The Wall of Fundamental Constants
• A simple test for stability of black hole by $S$-deformation
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Cited by in corpus (10)

• Spontaneously scalarised Kerr black holes
• Novel Black-Hole Solutions in Einstein-Scalar-Gauss-Bonnet Theories with a Cosmological Constant
• Large and Ultra-compact Gauss-Bonnet Black Holes with a Self-interacting Scalar Field
• On the Existence of Solutions with a Horizon in Pure Scalar-Gauss-Bonnet Theories
• Scalarization of horizonless reflecting stars: neutral scalar fields non-minimally coupled to Maxwell fields
• Horizon curvature and spacetime structure influences on black hole scalarization
• Spontaneous scalarization of a conducting sphere in Maxwell-scalar models
• Spontaneous scalarization of Gauss-Bonnet black holes surrounded by massive scalar fields
• Scalarization of compact stars in the scalar-Gauss-Bonnet gravity
• Analytical investigations on formations of hairy neutral reflecting shells in the scalar-Gauss-Bonnet gravity