Statistical description of the black hole degeneracy spectrum Articles uri icon

publication date

  • May 2011

start page

  • 104013

issue

  • 10

volume

  • 83

International Standard Serial Number (ISSN)

  • 1550-7998

Electronic International Standard Serial Number (EISSN)

  • 1550-2368

abstract

  • We use mathematical methods based on generating functions to study the statistical properties of the black hole degeneracy spectrum in loop quantum gravity. In particular we will study the persistence of the observed effective quantization of the entropy as a function of the horizon area. We will show that this quantization disappears as the area increases despite the existence of black hole configurations with a large degeneracy. The methods that we describe here can be adapted to the study of the statistical properties of the black hole degeneracy spectrum for all the existing proposals to define black hole entropy in loop quantum gravity.