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

^(a) calex@fisica.ufc.br
^(b) renan@fisica.ufc.br

Received: 12 June 2012
Accepted: 6 September 2012

Abstract

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.