Spontaneous Deformation of an AdS Spherical Black Hole

Abstract

In this study, we investigate the real-time dynamics during the spontaneous deformation of an unstable spherical black hole in asymptotically anti-de Sitter (AdS) spacetime. For the initial value, the static solutions with spherical symmetry are obtained numerically, revealing the presence of a spinodal region in the phase diagram. From the linear stability analysis, we find that only the central part of such a thermodynamically unstable spinodal region leads to the emergence of a type of axial instability. To trigger the dynamical instability, an axial perturbation is imposed on the scalar field. As a result, by the fully nonlinear dynamical simulation, the spherical symmetry of the gravitational system is broken spontaneously, leading to the formation of an axisymmetric black hole.

16 pages, 9 figures; Eq. (30) and (A7) corrected, figures and details added, version to appear in PRD

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• Mimicking the QCD equation of state with a dual black hole
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Cited by in corpus (2)

• Gravitating Scalarons with Inverted Higgs Potential
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