Back reaction of 4D conformal fields on static black-hole geometry

Abstract

Abstract Static, spherically symmetric black hole 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 nearhorizon geometry, and that the existence of the horizon requires fine-tuning.

Keywords

• Black Holes
• Classical Theories of Gravity