On Black Holes and Cosmological Constant in Noncommutative Gauge Theory of Gravity
arXiv:0711.4546 · doi:10.1088/1126-6708/2008/04/064
Abstract
Deformed Reissner-Nordström, as well as Reissner-Nordström de Sitter, solutions are obtained in a noncommutative gauge theory of gravitation. The gauge potentials (tetrad fields) and the components of deformed metric are calculated to second order in the noncommutativity parameter. The solutions reduce to the deformed Schwarzschild ones when the electric charge of the gravitational source and the cosmological constant vanish. Corrections to the thermodynamical quantities of the corresponding black holes and to the radii of different horizons have been determined. All the independent invariants, such as the Ricci scalar and the so-called Kretschmann scalar, have the same singularity structure as the ones of the usual undeformed case and no smearing of singularities occurs. The possibility of such a smearing is discussed. In the noncommutative case we have a local disturbance of the geometry around the source, although asymptotically at large distances it becomes flat.
arXiv commentBased on a talk given at the International Conference on Fundamental and Applied Research in Physics "Farphys 2007", 25-28 October 2007, Iasi, Romania
References in corpus (34)
- String Theory and Noncommutative Geometry
- Noncommutative Perturbative Dynamics
- Noncommutative geometry inspired Schwarzschild black hole
- On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
- General Logarithmic Corrections to Black Hole Entropy
- Instantons on noncommutative R^4, and (2,0) superconformal six dimensional theory
- Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
- Noncommutative geometry inspired charged black holes
- Inflation as a Probe of Short Distance Physics
- New concept of relativistic invariance in NC space-time: twisted Poincaré symmetry and its implications
- Deforming Einstein's Gravity
- An Action for Black Hole Membranes
- Noncommutative Spacetime, Stringy Spacetime Uncertainty Principle, and Density Fluctuations
- Remarks on Inflation and Noncommutative Geometry
- Corrections to Schwarzschild Solution in Noncommutative Gauge Theory of Gravity
- Non-commutative inflation and the CMB
- Noncommutative Inspired Black Holes in Extra Dimensions
- Monopoles and Strings in Noncommutative Gauge Theory
- Non-Commutative Inflation
- Corrections to the Cardy-Verlinde formula from the generalized uncertainty principle
- Self-Gravitational Corrections to the Cardy-Verlinde Formula of Achucarro-Ortiz Black Hole
- Self-Gravitational Corrections to the Cardy-Verlinde Formula and the FRW Brane Cosmology in SdS_5 Bulk
- The Generalized Uncertainty Principle and Corrections to the Cardy-Verlinde Formula in Black Holes
- Quantum long-range interactions in general relativity
- Logarithmic correction to the Cardy-Verlinde formula in Achucarro-Oritz Black Hole
- The AdS/CFT Correspondence and Logarithmic Corrections to Braneworld Cosmology and the Cardy-Verlinde Formula
- Logarithmic correction to the Cardy-Verlinde formula in Topological Reissner-Nordström de Sitter Space
- Twist as a Symmetry Principle and the Noncommutative Gauge Theory Formulation
- Quantum corrections to the Schwarzschild metric and reparametrization transformations
- Noncommutative instantons revisited
- Solutions without singularities in gauge theory of gravitation
- String Theory, Space-Time Non-Commutativity and Structure Formation
- Self-duality equations for spherically symmetric SU(2) gauge fields
- Dirac Monopole in Non-Commutative Space
Cited by in corpus (38)
- Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
- Non-commutative geometry inspired higher-dimensional charged, black holes
- Charged rotating noncommutative black holes
- Black holes in an ultraviolet complete quantum gravity
- Topics in Noncommutative Geometry Inspired Physics
- kappa-Minkowski spacetime as the result of Jordanian twist deformation
- Aspects of noncommutative (1+1)-dimensional black holes
- Finsler Black Holes Induced by Noncommutative Anholonomic Distributions in Einstein Gravity
- Noncommutative corrections to classical black holes
- Spherically Symmetric Noncommutative Space: d = 4
- Noncommutative BTZ Black Hole in Polar Coordinates
- Geodesic equation in non-commutative gauge theory of gravity
- Thermodynamic Properties of Schwarzschild Black Hole in Non-Commutative Gauge Theory of Gravity
- Quantum tunneling from Schwarzschild black hole in non-commutative gauge theory of gravity
- Noncommutative Corrections to the Robertson-Walker metric
- Noncommutative gauge theory using covariant star product defined between Lie-valued differential forms
- Gauging the twisted Poincare symmetry as noncommutative theory of gravitation
- Exact solutions of noncommutative vacuum Einstein field equations and plane-fronted gravitational waves
- Constructing noncommutative black holes
- Quantum deformations of Schwarzschild and Schwarzschild-de Sitter spacetimes
- Metric perturbations in Noncommutative Gravity
- Analogy between the Schwarzschild solution in a noncommutative gauge theory and the Reissner-Nordström metric
- Scalar modes and the linearized Schwarzschild solution on a quantized FLRW space-time in Yang-Mills matrix models
- Gravitational collapse of spherically symmetric stars in noncommutative general relativity
- Noncommutative Solitons of Gravity
- Thermodynamical properties of a noncommutative anti-de Sitter-Einstein-Born-Infeld spacetime from gauge theory of gravity
- Particle Classification and Dynamics in GL(2,C) Gravity
- Effects of Non-Commutativity on Light-Hydrogen-Like Atoms and Proton Radius
- Schwarzschild black hole surrounded by a cavity and phase transition in the non-commutative gauge theory of gravity
- Emergent Abelian Gauge Fields from Noncommutative Gravity
- Noncommutativity and Duality through the Symplectic Embedding Formalism
- Projective module description of embedded noncommutative spaces
- Spectrum of Hydrogen Atom in Space-Time Non-Commutativity
- Imprints of non-commutativity on charged black holes
- Torsion-induced spin precession
- Thermodynamics and phase transitions of -deformed Schwarzschild-AdS black holes
- Quantum Spacetimes from General Relativity?
- Neutrino-Antineutrino Asymmetry From The Space-time Noncommutativity