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Immirzi ambiguity, boosts and conformal frames for black holes

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Luis J Garay and Guillermo A Mena Marugán

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LETTER TO THE EDITOR

We analyse changes of the Immirzi parameter in loop quantum gravity and compare their consequences with those of Lorentz boosts and constant conformal transformations in black-hole physics. We show that the effective value deduced for the Planck length in local measurements of vacuum black holes by an asymptotic observer may depend on its conformal or Lorentz frame. This introduces an apparent ambiguity in the expression of the black-hole entropy which is analogous to that produced by the Immirzi parameter. For quantities involving a notion of energy, the similarity between the implications of the Immirzi ambiguity and a conformal scaling disappears, but the parallelism with boosts is maintained.


PACS

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

04.60.-m Quantum gravity

03.30.+p Special relativity

97.60.Lf Black holes

MSC

83C57 Black holes

83A05 Special relativity

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 8 (21 April 2003)

Received 10 December 2002

Published 28 March 2003



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