New Variables for Classical and Quantum Gravity in all Dimensions V. Isolated Horizon Boundary Degrees of Freedom

@article{Bodendorfer2013NewVF,
  title={New Variables for Classical and Quantum Gravity in all Dimensions V. Isolated Horizon Boundary Degrees of Freedom},
  author={Norbert Bodendorfer and Thomas Thiemann and Andreas Thurn},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2013}
}
In this paper, we generalise the treatment of isolated horizons in loop quantum gravity, resulting in a Chern-Simons theory on the boundary in the four-dimensional case, to non-distorted isolated horizons in 2(n+1)-dimensional spacetimes. The key idea is to generalise the four-dimensional isolated horizon boundary condition by using the Euler topological density of a spatial slice of the black hole horizon as a measure of distortion. The resulting symplectic structure on the horizon coincides… 
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25 Citations

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References

SHOWING 1-10 OF 63 REFERENCES
Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity
We review the black hole entropy calculation in the framework of Loop Quantum Gravity based on the quasi-local definition of a black hole encoded in the isolated horizon formalism. We show, by means…
Quantum geometry of isolated horizons and black hole entropy
Using the earlier developed classical Hamiltonian framework as the point of departure, we carry out a non-perturbative quantization of the sector of general relativity, coupled to matter, admitting…
New variables for classical and quantum gravity in all dimensions: IV. Matter coupling
We employ the techniques introduced in the companion papers [1, 2, 3] to derive a connection formulation of Lorentzian General Relativity coupled to Dirac fermions in dimensions D + 1 ≥ 3 with…
Isolated horizons in higher-dimensional Einstein-Gauss-Bonnet gravity
The isolated horizon framework was introduced in order to provide a local description of black holes that are in equilibrium with their (possibly dynamic) environment. Over the past several years,…
The Dynamical structure of higher dimensional Chern-Simons theory
New variables for classical and quantum (super)-gravity in all dimensions
Supergravity was originally introduced in the hope of finding a theory of gravity without the shortcoming of perturbative non-renormalisability. Although this goal does not seem to have been reached…
Towards Loop Quantum Supergravity (LQSG) II. p-Form Sector
In our companion paper, we focused on the quantization of the Rarita–Schwinger sector of supergravity theories in various dimensions by using an extension of loop quantum gravity to all spacetime…
Static Isolated Horizons: SU(2) Invariant Phase Space, Quantization, and Black Hole Entropy
TLDR
It is argued how this difficulty could be avoided by a simple enlargement of the field content at the horizon that restores diffeomorphism invariance, and a quantization of the horizon degrees of freedom is proposed.
Isolated horizons: The Classical phase space
A Hamiltonian framework is introduced to encompass non-rotating (but possibly charged) black holes that are “isolated” near future time-like infinity or for a finite time interval. The underlying…
Linking topological quantum field theory and nonperturbative quantum gravity
Quantum gravity is studied nonperturbatively in the case in which space has a boundary with finite area. A natural set of boundary conditions is studied in the Euclidean signature theory in which the…
...
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