Collapsing shells and black holes: a quantum analysis

• Tipo: Artigo em Revista Científica Internacional
• Data: 2018

Autores

Leal, P (Autor) Outra; Bernardini, AE (Autor) Outra; Bertolami, O (Autor) FCUP

Revista

Título: Classical and Quantum Gravity

Vol. 35

ISSN: 0264-9381

Editora: Institute of Physics Publishing

Indexação

ISI Web of Knowledge - 2 Citações

Scopus - 2 Citações

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 23