EU2B - Quantum Fields |
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Speaker |
Yokokura, Yuki |
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Coauthors |
Kawai, Hikaru |
| Talk Title |
A Self-consistent Solution Of Evaporating Black Holes |
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Abstract |
Black holes evaporate by nature. We obtain a self-consistent solution of the semi-classical Einstein equation including the backreaction of the collapsing matter and evaporation. It indicates that a collapsing matter becomes a dense object without horizon or singularity, and it has a surface and looks like a usual black hole from the outside. Hawking radiation and a strong tangential pressure occur inside the object, which is consistent with 4D Weyl anomaly. Any object we recognize as a black hole should be such an object. To obtain the solution, we take the following three steps. First, we consider a spherical shell going to an evaporating black hole, and study both motion of the shell and evolution of the shrinking black hole in a common time coordinate. Then, we find that the shell will never cross the Schwarzschild radius but approach a position just outside it. Second, based on this fact, we regard a spherical collapsing matter as many shells, and construct a candidate metric that describes the whole spacetime. Third, we solve the Heisenberg equation of scalar fields on the metric and evaluate the expectation value of energy-momentum tensor by dimensional regularization and renormalization. Finally, we show that the metric satisfies the Einstein equation if there are many matter fields. [arXiv:1701.03455 + more] |
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