scholarly journals Mass spectrum and statistical entropy of the BTZ black hole from canonical quantum gravity

2008 ◽  
Vol 77 (6) ◽  
Author(s):  
Cenalo Vaz ◽  
Sashideep Gutti ◽  
Claus Kiefer ◽  
T. P. Singh ◽  
L. C. R. Wijewardhana
Keyword(s):  
Black Hole ◽  
Mass Spectrum ◽  
Quantum Gravity ◽  
Statistical Entropy ◽  
Btz Black Hole ◽  
Canonical Quantum Gravity ◽  
Canonical Quantum

scholarly journals Black-hole horizons in modified spacetime structures arising from canonical quantum gravity

2011 ◽  
Vol 28 (18) ◽  
pp. 185006 ◽  
Author(s):  
Martin Bojowald ◽  
George M Paily ◽  
Juan D Reyes ◽  
Rakesh Tibrewala
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Canonical Quantum Gravity ◽  
Canonical Quantum

scholarly journals Statistical entropy of a BTZ black hole from loop quantum gravity

2013 ◽  
Vol 2013 (5) ◽  
Author(s):  
Ernesto Frodden ◽  
Marc Geiller ◽  
Karim Noui ◽  
Alejandro Perez
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Statistical Entropy ◽  
Btz Black Hole

scholarly journals General Canonical Quantum Gravity Theory and that of the Universe and General Black Hole

2021 ◽  
Author(s):  
C. Huang ◽  
Yong-Chang Huang ◽  
Xinfei Li
Keyword(s):  
Black Hole ◽  
Gravitational Field ◽  
Nonlinear System ◽  
Quantum Gravity ◽  
Canonical Quantization ◽  
Gravity Theory ◽  
Canonical Momentum ◽  
Canonical Quantum Gravity ◽  
The Universe ◽  
Canonical Quantum

This paper gives both a general canonical quantum gravity theory and the general canonical quantum gravity theories of the Universe and general black hole, and discovers the relations reflecting symmetric properties of the standard nonlinear gravitational Lagrangian, which are not relevant to any concrete metric models. This paper concretely shows the general commutation relations of the general gravitational field operators and their zeroth, first, second and third style, respectively, of high order canonical momentum operators for the general nonlinear system of the standard gravitational Lagrangian, and then has finished all the four styles of the canonical quantization of the standard gravity.

scholarly journals CONSTRAINTS IN QUANTUM GEOMETRODYNAMICS

2004 ◽  
Vol 19 (10) ◽  
pp. 1609-1638 ◽  
Author(s):  
ADRIAN P. GENTLE ◽  
NATHAN D. GEORGE ◽  
ARKADY KHEYFETS ◽  
WARNER A. MILLER
Keyword(s):  
Quantum Gravity ◽  
General Setting ◽  
Square Root ◽  
Dynamical Equations ◽  
Dynamic Content ◽  
Quantization Formalism ◽  
Canonical Quantum Gravity ◽  
First Time ◽  
Quantum Geometrodynamics ◽  
Canonical Quantum

We compare different treatments of the constraints in canonical quantum gravity. The standard approach on the superspace of 3-geometries treats the constraints as the sole carriers of the dynamic content of the theory, thus rendering the traditional dynamical equations obsolete. Quantization of the constraints in both the Dirac and ADM square root Hamiltonian approaches leads to the well known problems of time evolution. These problems of time are of both an interpretational and technical nature. In contrast, the geometrodynamic quantization procedure on the superspace of the true dynamical variables separates the issues of quantization from the enforcement of the constraints. The resulting theory takes into account states that are off-shell with respect to the constraints, and thus avoids the problems of time. We develop, for the first time, the geometrodynamic quantization formalism in a general setting and show that it retains all essential features previously illustrated in the context of homogeneous cosmologies.

Quantum gravity effects on scalar particle tunneling from rotating BTZ black hole

2018 ◽  
Vol 33 (12) ◽  
pp. 1850070 ◽  
Author(s):  
I. Ablu Meitei ◽  
T. Ibungochouba Singh ◽  
S. Gayatri Devi ◽  
N. Premeshwari Devi ◽  
K. Yugindro Singh
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Generalized Uncertainty Principle ◽  
Scalar Particle ◽  
Mass Energy ◽  
Btz Black Hole ◽  
Logarithmic Term ◽  
Scalar Particles ◽  
Gravity Effects ◽  
Correction Terms

Tunneling of scalar particles across the event horizon of rotating BTZ black hole is investigated using the Generalized Uncertainty Principle to study the corrected Hawking temperature and entropy in the presence of quantum gravity effects. We have determined explicitly the various correction terms in the entropy of rotating BTZ black hole including the logarithmic term of the Bekenstein–Hawking entropy [Formula: see text], the inverse term of [Formula: see text] and terms with inverse powers of [Formula: see text], in terms of properties of the black hole and the emitted particles — mass, energy and angular momentum. In the presence of quantum gravity effects, for the emission of scalar particles, the Hawking radiation and thermodynamics of rotating BTZ black hole are observed to be related to the metric element, hence to the curvature of space–time.

ARITHMETIC QUANTUM GRAVITY

2010 ◽  
Vol 19 (14) ◽  
pp. 2305-2310 ◽  
Author(s):  
AXEL KLEINSCHMIDT ◽  
HERMANN NICOLAI
Keyword(s):  
Quantum Gravity ◽  
Algebraic Structure ◽  
Complete Resolution ◽  
Quantum Level ◽  
Cosmological Singularity ◽  
Quantum Billiard ◽  
Symmetry Structure ◽  
Canonical Quantum Gravity ◽  
The Universe ◽  
Canonical Quantum

The arithmetic chaos of classical (super)gravity near a spacelike singularity is elevated to the quantum level via the construction of a cosmological quantum billiard system. Its precise formulation, together with its underlying algebraic structure, allows for a general analysis of the wavefunction of the universe near the singularity. We argue that the extension of these results beyond the billiard approximation may provide a concrete mechanism for emergent space as well as new perspectives on several long-standing issues in canonical quantum gravity. The exponentially growing complexity of the underlying symmetry structure could introduce an element of non-computability that effectively "screens" the cosmological singularity from a complete resolution.

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