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Black hole entropy from the SU(2)-invariant formulation of type I isolated horizons
A detailed analysis of the spherically symmetric isolated horizon system is performed in terms of the connection formulation of general relativity. The system is shown to admit a manifestly SU(2)Expand
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Generalized quantum gravity condensates for homogeneous geometries and cosmology
We construct a generalized class of quantum gravity condensate states, that allows the description of continuum homogeneous quantum geometries within the full theory. They are based on similar ideasExpand
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Spacetime thermodynamics in the presence of torsion
It was shown by Jacobson in 1995 that the Einstein equation can be derived as a local constitutive equation for an equilibrium spacetime thermodynamics. With the aim to understand if suchExpand
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Canonical quantization of non-commutative holonomies in 2 + 1 loop quantum gravity
In this work we investigate the canonical quantization of 2 + 1 gravity with cosmological constant Λ > 0 in the canonical framework of loop quantum gravity. The unconstrained phase space of gravityExpand
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Loop gravity string
In this work we study canonical gravity in finite regions for which we introduce a generalisation of the Gibbons-Hawking boundary term including the Immirzi parameter. We study the canonicalExpand
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Non-commutative holonomies in 2 + 1 LQG and Kauffman's brackets
We investigate the canonical quantization of 2+1 gravity with Λ > 0 in the canonical framework of LQG. A natural regularization of the constraints of 2+1 gravity can be defined in terms of theExpand
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The SU(2) black hole entropy revisited
We study the state-counting problem that arises in the SU(2) black hole entropy calculation in loop quantum gravity. More precisely, we compute the leading term and the logarithmic correction of bothExpand
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Horizon entropy with loop quantum gravity methods
Abstract We show that the spherically symmetric isolated horizon can be described in terms of an SU ( 2 ) connection and an su ( 2 ) -valued one-form, obeying certain constraints. The horizonExpand
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On the 5d Differential Calculus and Translation Transformations in 4d κ-MINKOWSKI Noncommutative Space-Time
We perform a Noether analysis for a description of translation transformations in 4D κ-Minkowski noncommutative space–time which is based on the structure of a 5D differential calculus. TheExpand
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Geometric temperature and entropy of quantum isolated horizons
By reintroducing Lorentz invariance in canonical loop quantum gravity, we define a geometrical notion of temperature for quantum isolated horizons. This is done by demanding that the horizon stateExpand
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