A Model of Black Hole Evaporation and 4D Weyl Anomaly

Abstract

We analyze time evolution of a spherically-symmetric collapsing matter from a point of view that black holes evaporate by nature. We consider conformal matters and solve the semi-classical Einstein equation $G_{\mu \nu }=8\pi G⟨T_{\mu \nu }⟩$ by using the 4-dimensional Weyl anomaly with a large $c$ coefficient. Here $⟨T_{\mu \nu }⟩$ contains the contribution from both the collapsing matter and Hawking radiation. The solution indicates that the collapsing matter forms a dense object and evaporates without horizon or singularity, and it has a surface but looks like an ordinary black hole from the outside. Any object we recognize as a black hole should be such an object.

arXiv comment28 pages, 6 figures. Typos fixed and references added

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Cited by in corpus (6)

• Black Hole as a Quantum Field Configuration
• Entropy corresponding to the interior of a Schwarzschild black hole
• From Uneventful Horizon to Firewall in D-Dimensional Effective Theory
• Firewall From Effective Field Theory
• Vacuum Energy at Apparent Horizon in Conventional Model of Black Holes
• Final-State Condition And Dissipative Quantum Mechanics