976 research outputs found
Black Hole Entropy in Loop Quantum Gravity and Number Theory
We show that counting different configurations that give rise to black hole
entropy in loop quantum gravity is related to partitions in number theory.Comment: 6 page
BTZ Black Hole Entropy in Loop Quantum Gravity and in Spin Foam Models
We present a comparison of the calculation of BTZ black hole entropy in loop
quantum gravity and in spin foam models. We see that both give the same answer.Comment: 10 pages, 3 figures, Final version, improve
Entropy in Spin Foam Models: The Statistical Calculation
Recently an idea for computing the entropy of black holes in the spin foam
formalism has been introduced. Particularly complete calculations for the three
dimensional euclidean BTZ black hole were done. The whole calculation is based
on observables living at the horizon of the black hole universe. Departing from
this idea of observables living at the horizon, we now go further and compute
the entropy of BTZ black hole in the spirit of statistical mechanics. We
compare both calculations and show that they are very interrelated and equally
valid. This latter behaviour is certainly due to the importance of the
observables.Comment: 11 pages, 1 figur
Observables in 3-dimensional quantum gravity and topological invariants
In this paper we report some results on the expectation values of a set of
observables introduced for 3-dimensional Riemannian quantum gravity with
positive cosmological constant, that is, observables in the Turaev-Viro model.
Instead of giving a formal description of the observables, we just formulate
the paper by examples. This means that we just show how an idea works with
particular cases and give a way to compute 'expectation values' in general by a
topological procedure.Comment: 24 pages, 47 figure
Towards a spin foam model description of black hole entropy
We propose a way to describe the origin of black hole entropy in the spin
foam models of quantum gravity. This stimulates a new way to study the relation
of spin foam models and loop quantum gravity.Comment: 5 pages, 1 figur
- …