Advances in Black Holes, Symmetry and Chaos

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: 31 December 2025 | Viewed by 521

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Institute for Theoretical Physics and Astrophysics and Würzburg-Dresden Cluster of Excel-lence ct.qmat, Julius-Maximilians-Universität Würzburg, 97074 Würzburg, Germany
Interests: AdS/CFT; gravity; condensed matter theory

Special Issue Information

Dear Colleagues,

Black holes, as the most extreme and enigmatic objects in the universe, provide profound insights into the fundamental laws of physics. Their event horizons, singularities, and thermodynamic properties reveal surprising connections between gravity, quantum mechanics, and statistical mechanics. The holographic principle has improved our understanding of black holes, offering a dual perspective through lower-dimensional quantum field theories and uncovering the chaotic nature of black holes. Quantum chaos focuses on how dynamical systems exhibit extreme sensitivity to initial conditions within the framework of quantum theory. Many quantum systems, particularly those related to black holes, demonstrate chaotic behaviors marked by thermalization, entanglement dynamics, scrambling, and spectral statistics. Quantum chaos bridges the complex dynamics of strongly correlated systems with the semiclassical dynamics near black hole horizons and the contributions of wormhole geometries. Symmetry is crucial for understanding the structure and dynamics of chaotic quantum systems and black holes. For instance, discrete symmetries determine the universality classes of spectral statistics in chaotic systems, while continuous symmetries govern conserved quantities that constrain chaotic dynamics and serve as parameters for black hole solutions. This Special Issue aims to investigate the complex relationships between black holes, symmetry, and chaos, with a focus on recent breakthroughs and emerging directions in this interdisciplinary field.

Dr. Zhuo-Yu Xian
Guest Editors

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Keywords

  • black holes
  • general relativity
  • symmetry
  • quantum chaos
  • holography
  • strongly correlated electrons
  • quantum entanglement

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Published Papers (1 paper)

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Research

15 pages, 653 KB  
Article
Basic Vaidya White Hole Evaporation Process
by Qingyao Zhang
Symmetry 2025, 17(10), 1762; https://doi.org/10.3390/sym17101762 - 18 Oct 2025
Viewed by 278
Abstract
We developed a self-consistent double-null description of an evaporating white-hole spacetime by embedding the outgoing Vaidya solution in a coordinate system that remains regular across the future horizon. Starting from the radiation-coordinate form, we specialize in retarded time so that a monotonically decreasing [...] Read more.
We developed a self-consistent double-null description of an evaporating white-hole spacetime by embedding the outgoing Vaidya solution in a coordinate system that remains regular across the future horizon. Starting from the radiation-coordinate form, we specialize in retarded time so that a monotonically decreasing mass function M(u) encodes outgoing positive-energy flux. Expressing the metric in null coordinates (u,v), Einstein’s equations for a single-directional null-dust stress–energy tensor, Tuu=ρ(u), then reduce to one first-order PDE for the areal radius: vr=B(u)12M(u)/r. Its integral, r+2M(u)ln|r2M(u)|=vC(u), defines an implicit foliation of outgoing null cones. The metric coefficient follows algebraically as f(u,v)=12M(u)/r. Residual gauge freedom in B(u) and C(u) is fixed so that u matches the Bondi retarded time at null infinity, while v remains analytic at the apparent horizon, generalizing the Kruskal prescription to dynamical mass loss. In the limit M(u)M, the construction reduces to the familiar Eddington–Finkelstein and Kruskal forms. Our solution, therefore, provides a compact analytic framework for studying white-hole evaporation, Hawking-like energy fluxes, and back-reaction in spherically symmetric settings without encountering coordinate singularities. Full article
(This article belongs to the Special Issue Advances in Black Holes, Symmetry and Chaos)
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