Spontaneous Deformation of an AdS Spherical Black Hole
arXiv:2307.14156 · doi:10.1103/PhysRevD.109.064082
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.
arXiv comment16 pages, 9 figures; Eq. (30) and (A7) corrected, figures and details added, version to appear in PRD
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