Collapsing shells and black holes: a quantum analysis

• Type: Article in International Scientific Journal
• Date: 2018

Authors

Leal, P (Author) Other; Bernardini, AE (Author) Other; Bertolami, O (Author) FCUP

Journal

Title: Classical and Quantum Gravity

Vol. 35

ISSN: 0264-9381

Publisher: Institute of Physics Publishing

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 2 Citations

Other information

Authenticus ID: P-00N-ZBG

DOI: 10.1088/1361-6382/aac083

Abstract (EN): The quantization of a spherically symmetric null shells is performed and extended to the framework of phase-space noncominutative (NC) quantum mechanics. This shell is considered to be inside a black hole event horizon. The encountered properties are investigated making use of the Israel junction conditions on the shell, considering that it is the boundary between two spherically symmetric spacetimes. Using this method, and considering two different Kantowski-Sachs spacetimes as a representation for the Schwarzschild spacetime, the relevant quantities on the shell are computed, such as its stress-energy tensor and the action for the whole spacetime. From the obtained action, the Wheeler-deWitt equation is deduced in order to provide the quantum framework for the system. Solutions for the wave function of the system are found on both the commutative and NC scenarios. It is shown that, on the commutative version, the wave function has a purely oscillatory behavior in the interior of the shell. In the NC setting, it is shown that the wave function vanishes at the singularity, as well as, at the event horizon of the black hole.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 23