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arXiv · 2307.14156

Spontaneous Deformation of an AdS Spherical Black Hole

Zhuan Ning·Qian Chen·Yu Tian·Xiaoning Wu·Hongbao Zhang
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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.

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Zhuan Ning, Qian Chen, Yu Tian, Xiaoning Wu, Hongbao Zhang. 2023-07-26. Spontaneous Deformation of an AdS Spherical Black Hole. https://doi.org/10.1103/physrevd.109.064082

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