Influences of a Generalized Uncertainty Principle on the black-hole area spectrum in the tunneling formalism
1 Instituto Federal de Educação Ciência e Tecnologia da Paraíba (IFPB), Campus Campina Grande Rua Tranquilino Coelho Lemos, 671, Jardim Dinamérica I, Brazil
2 Departamento de Física, Universidade Federal do Ceará - Caixa Postal 6030, CEP 60455-760, Fortaleza, Ceará, Brazil
Received: 12 June 2012
Accepted: 6 September 2012
In the Hawking's original semiclassical approach, the black-hole radiation is continuous. However, several authors have raised the interesting possibility that Hawking radiation might in fact have a discrete spectrum. Several calculations have been employed in order to find out the correct form of the black-hole area spectrum, but despite these efforts, this important issue remains unclear since we do not have yet a full theory of quantum gravity. In this article, we analyze the black-hole area spectrum through the use of the tunneling mechanism with a quantum gravity ingredient: the presence of a Generalized Uncertainty Principle (GUP). A discrete spectrum for the black-hole area is found out, and the presence of a GUP implies in a non-evenly spaced spectrum. The consequences for the micro black-hole luminosity are addressed.
PACS: 04.70.-s – Physics of black holes / 04.70.Dy – Quantum aspects of black holes, evaporation, thermodynamics / 04.62.+v – Quantum fields in curved spacetime
© EPLA, 2012