Back Reaction of 4D Conformal Fields on Static Geometry

Abstract

Static, spherically symmetric solutions to the semi-classical Einstein equation are studied, including the effect of the quantum energy-momentum tensor for conformal matters with 4D Weyl anomaly. Through both perturbative and non-perturbative methods, we show that the quantum effect can play a crucial role in shaping the near-horizon geometry, and that the existence of the horizon requires fine-tuning.

arXiv comment35 pages, minor modification

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• Quantum Spacetime Instability and Breakdown of Semiclassical Gravity
• Islands in Non-Minimal Dilaton Gravity: Exploring Effective Theories for Black Hole Evaporation
• Black hole solutions in modified gravity induced by quantum metric fluctuations
• On the backreaction issue for the black hole in de Sitter space-time
• Unveiling horizons in quantum critical collapse
• Quantum Critical Collapse Abhors a Naked Singularity
• Nontrivial self-consistent backreaction of quantum fields in 2D dilaton gravity
• Local solutions of General Relativity in the presence of the Trace Anomaly
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