A Model of Black Hole Evaporation and 4D Weyl Anomaly
Abstract
We analyze time evolution of a sphericallysymmetric collapsing matter from a point of view that black holes evaporate by nature. We consider conformal matters and solve the semiclassical Einstein equation $G_{\mu\nu}=8\pi G \langle T_{\mu\nu} \rangle$ by using the 4dimensional Weyl anomaly with a large $c$ coefficient. Here $\langle T_{\mu\nu} \rangle$ 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.
 Publication:

Universe
 Pub Date:
 June 2017
 DOI:
 10.3390/universe3020051
 arXiv:
 arXiv:1701.03455
 Bibcode:
 2017Univ....3...51K
 Keywords:

 High Energy Physics  Theory;
 Astrophysics  High Energy Astrophysical Phenomena;
 General Relativity and Quantum Cosmology
 EPrint:
 28 pages, 6 figures. Typos fixed and references added