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Keywords
(8)
Black Hole Entropy
chernsimons theory
Degree of Freedom
General Relativity
Loop Quantum Gravity
Quantum Gravity
Quantum Theory
Variational Principle
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Black hole entropy from the SU(2)invariant formulation of type I isolated horizons
Black hole entropy from the SU(2)invariant formulation of type I isolated horizons,10.1103/PhysRevD.82.044050,Physical Review D,Jonathan Engle,Karim
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Black hole entropy from the SU(2)invariant formulation of type I isolated horizons
(
Citations: 5
)
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Jonathan Engle
,
Karim Noui
,
Alejandro Perez
,
Daniele Pranzetti
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) invariant formulation where the (effective) horizon degrees of freedom are described by an SU(2) ChernSimons theory. This leads to a more transparent description of the
quantum theory
in the context of
loop quantum gravity
and modifications of the form of the horizon entropy.
Journal:
Physical Review D  PHYS REV D
, vol. 82, no. 4, 2010
DOI:
10.1103/PhysRevD.82.044050
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Citation Context
(1)
...More precisely, in the passage from Palatinilike variables to connection variables that is necessary for the description of the horizon degrees of freedom in terms of ChernSimons theory (central for the quantization), an ambiguity parameter arises [
9
, 10]...
...In [
9
, 10], we have shown that the level k and the area a can be considered as independent variables...
...This paper has been devoted to the calculation of leading and subleading terms of the SU(2) black hole entropy in Loop Quantum Gravity when the black hole is spherically symmetric [8,
9
] and when it is distorted [10]...
...To reach this aim, we derived first, by means of the recoupling theory of the quantum group Uq(su(2)), a new integral formula, resulting to be very useful, for the dimension of the Hilbert space of SU(2) ChernSimons theory on a punctured twosphere, which enters the definition of the Hilbert space of the SU(2) spherically symmetric and distorted black hole as derived in [
9
, 10]...
J. Engle
,
et al.
The SU(2) black hole entropy revisited
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The SU(2) black hole entropy revisited
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,
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