Towards Noncommutative Quantum Black Holes

Abstract

In this paper we study noncommutative black holes. We use a diffeomorphism between the Schwarzschild black hole and the Kantowski-Sachs cosmological model, which is generalized to noncommutative minisuperspace. Through the use of the Feynman-Hibbs procedure we are able to study the thermodynamics of the black hole, in particular, we calculate the Hawking's temperature and entropy for the noncommutative Schwarzschild black hole.

RevTeX 4, 5 pages, no figures, to appear in Phys. Rev. D

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• Gravitational perturbations of non-singular black holes in conformal gravity
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• Non-Canonical Phase-Space Noncommutativity and the Kantowski-Sachs singularity for Black Holes
• Annihilation-to-nothing: a quantum gravitational boundary condition for the Schwarzschild black hole
• The singularity problem and phase-space noncanonical noncommutativity
• Effects of non-commutative geometry on black hole properties
• Effects of Noncommutativity on the Black Hole Entropy
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• Exploring non-singular black holes in gravitational perturbations
• Polymeric Quantization and Black Hole Thermodynamics
• Generalized information entropies depending only on the probability distribution
• Magnetic operations: a little fuzzy physics?
• Modified entropies, their corresponding Newtonian forces, potentials, and temperatures
• Quantization of the interior Schwarzschild black hole
• Stabilization of Compactification Volume In a Noncommutative Mini-Super-Phase-Space
• Thermodynamic Properties of Schwarzschild Black Hole in Non-Commutative Gauge Theory of Gravity
• Particle production induced by a Lorentzian non-commutative spacetime
• A Non-Commutative Kalb-Ramond Black Hole
• Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole
• Annihilation-to-nothing: DeWitt boundary condition inside a black hole
• Thermodynamics of Schwarzschild-AdS black hole in non-commutative geometry
• Entanglement Entropy Renormalization for the NC scalar field coupled to classical BTZ geometry
• Non-commutativity in Hayward spacetime
• Thermodynamics of noncommutative quantum Kerr black holes
• Noncommutative Effects in the Black Hole Evaporation in Two Dimensions
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• Wheeler-DeWitt equation beyond the cosmological horizon: Annihilation to nothing, infinity avoidance, and loss of quantum coherence
• A fundamental length as a candidate for dark energy: a DSR inspired FRW spacetime
• A cosmological viewpoint on the correspondence between deformed phase-space and canonical quantization
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• Thermodynamics of high order correction for Schwarzschild-AdS black hole in non-commutative geometry
• Quantum gravitational wave function for the interior of a black hole and the generalized uncertainty principle
• The cosmological implications of a fundamental length: a DSR inspired de-Sitter spacetime
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• Noncommutative black hole in the Finslerian spacetime
• Schwarzschild black hole surrounded by a cavity and phase transition in the non-commutative gauge theory of gravity
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• Non trivial spacetime effects in a supersymmetric model
• Noncommutative Black Holes
• Noncommutative Reissner-Nordstrøm Black hole
• Noncommutative cosmological models induced by a symplectic formalism coupled to phantom fluids
• Estimating the strength of Lorentzian distribution in non-commutative geometry by solar system tests
• Axisymmetric black hole in a non-commutative gauge theory: classical and quantum gravity effects
• Noncommutative SUSY Black Holes
• Noncommutative information is revealed from the static detector outside the black hole