Non-commutative geometry inspired higher-dimensional charged, black holes

Abstract

We obtain a new, exact, solution of the Einstein's equation in higher dimensions. The source is given by a static spherically symmetric, Gaussian distribution of mass and charge. De-localization of mass and charge is due to the presence of a "minimal length" in the spacetime fabric, coming from quantum gravitational effects, e.g. string induced non-commutative geometry. The resulting metric describes a regular, i.e. curvature singularity free, charged black hole in higher dimensions. The metric smoothly interpolates between Reissner-Nordstrom geometry at large distance, and deSitter spacetime at short distance. Thermodynamical properties of the black hole are investigated and the form of the Area Law is determined. We show that back reaction effects are negligible even near the temperature maximum for any reasonable number of extra dimensions. We study pair creation and show that the upper bound on the discharge time increases with the number of extra dimensions.

16 pages, 3 figures, 1 tables; final version accepted by PLB. Title changed; presentation improved; added comments

References in corpus (47)

• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• String Theory and Noncommutative Geometry
• Quantum gravity and minimum length
• Bound States Of Strings And $p$-Branes
• Noncommutative geometry inspired Schwarzschild black hole
• Space-Time Noncommutative Field Theories And Unitarity
• Feynman Path Integral on the Noncommutative Plane
• Noncommutative geometry inspired charged black holes
• Heisenberg-Euler Effective Lagrangians : Basics and Extensions
• Black hole and brane production in TeV gravity: A review
• UV divergence-free QFT on noncommutative plane
• Will we observe black holes at LHC?
• Minimum Length from Quantum Mechanics and Classical General Relativity
• Corrections to Schwarzschild Solution in Noncommutative Gauge Theory of Gravity
• A model of radiating black hole in noncommutative geometry
• How classical are TeV-scale black holes?
• Noncommutative Inspired Black Holes in Extra Dimensions
• Wald's entropy is equal to a quarter of the horizon area in units of the effective gravitational coupling
• Can black holes and naked singularities be detected in accelerators?
• Noncommutative Gravity
• Thermodynamics and evaporation of the noncommutative black hole
• An Invariant Action for Noncommutative Gravity in Four-Dimensions
• Zero-point length from string fluctuations
• Thermodynamics of regular black hole
• Quantum Production of Black Holes
• Quantum Cooling Evaporation Process in Regular Black Holes
• TeV Mini Black Hole Decay at Future Colliders
• Making electromagnetic wavelets II: Spheroidal shell antennas
• On Black Holes and Cosmological Constant in Noncommutative Gauge Theory of Gravity
• Deformed Reissner--Nordstrom solutions in noncommutative gravity
• Black Hole Production in Large Extra Dimensions at the Tevatron: Possibility for a First Glimpse on TeV Scale Gravity
• Noncommutative corrections to classical black holes
• Non-singular black-holes on the brane
• Newton's law in an effective non commutative space-time
• Schwarzschild Black Hole in Noncommutative Spaces
• Entropy of an extremal regular black hole
• TeV-Scale Black Hole Lifetimes in Extra-Dimensional Lovelock Gravity
• SUSY Production From TeV Scale Blackhole at LHC
• Black Hole Geometries in Noncommutative String Theory
• Evidence Against Astrophysical Dyadospheres
• Probing quantum gravity effects in black holes at LHC
• The Event Horizon of The Schwarzschild Black Hole in Noncommutative Spaces
• Mini Black Holes in the first year of the LHC
• Lorentz invariance and unitarity in UV finite NCQFT
• On the Dyadosphere of Black Hole
• Dyadospheres Don't Develop

Cited by in corpus (152)

• Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
• Super-renormalizable Quantum Gravity
• Black Hole Remnants and the Information Loss Paradox
• Charged rotating noncommutative black holes
• Black holes in an ultraviolet complete quantum gravity
• Noncommutative geometry inspired dirty black holes
• Regular black holes: A short topic review
• "Kerrr" black hole: the Lord of the String
• A model for non-singular black hole collapse and evaporation
• Black holes within Asymptotic Safety
• Searching for higher dimensional wormholes with noncommutative geometry
• Spectral dimension of a quantum universe
• Voros product, Noncommutative Schwarzschild Black Hole and Corrected Area Law
• Entropic force, noncommutative gravity and ungravity
• Parikh-Wilczek Tunneling from Noncommutative Higher Dimensional Black Holes
• Massive Vector Particles Tunneling From Noncommutative Charged Black Holes and its GUP-corrected Thermodynamics
• Noncommutative Schwarzschild Black Hole and Area Law
• Spinning Loop Black Holes
• Shadow cast of non-commutative black holes in Rastall gravity
• Shadow of noncommutative geometry inspired black hole
• Shadow of a Charged Rotating Non-Commutative Black Hole
• Linearized stability analysis of gravastars in noncommutative geometry
• Self-Completeness and the Generalized Uncertainty Principle
• Noncommutative geometry inspired black holes in Rastall gravity
• Cosmological production of noncommutative black holes
• Hawking emission from quantum gravity black holes
• Hawking radiation as tunneling from a Vaidya black hole in noncommutative gravity
• Neutrino oscillations as a novel probe for a minimal length
• Noncommutative geometry inspired black holes in higher dimensions at the LHC
• A minimal length versus the Unruh effect
• Charged Thin-shell Gravastars in Noncommutative Geometry
• Strong gravitational lensing in a noncommutative black-hole spacetime
• Classical resolution of black hole singularities via wormholes
• BTZ black holes inspired by noncommutative geometry
• The Hawking-Page crossover in noncommutative anti-deSitter space
• Insights and possible resolution to the information loss paradox via the tunneling picture
• Aspects of noncommutative (1+1)-dimensional black holes
• Could any black holes be produced at the LHC?
• Regular black holes in UV self-complete quantum gravity
• Thermodynamics of a Bardeen black hole in noncommutative space
• A noncommutative approach to the cosmological constant problem
• A non commutative model for a mini black hole
• Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes
• Regular black hole in three dimensions
• Regular black holes from semi-classical down to Planckian size
• Supersonic Velocities in Noncommutative Acoustic Black Holes
• Large extra dimensions and small black holes at the LHC
• Self-completeness and spontaneous dimensional reduction
• Holographic screens in ultraviolet self-complete quantum gravity
• Fuzziness at the horizon
• Thermodynamical phases of a regular SAdS black hole
• Maximal extension of the Schwarzschild spacetime inspired by noncommutative geometry
• Noncommutative Inspired Reissner-Nordström Black Holes in Large Extra Dimensions
• Un-graviton corrections to the Schwarzschild black hole
• Geometric model of black hole quantum $N$-portrait, extradimensions and thermodynamics
• Noncommutative geometry inspired Einstein-Gauss-Bonnet black holes
• Shadow of a noncommutative geometry inspired Ayón Beato García black hole
• The Hidden Quantum Groups Symmetry of Super-renormalizable Gravity
• Impact of curvature divergences on physical observers in a wormhole space-time with horizons
• Un-spectral dimension and quantum spacetime phases
• Gravitational Collapse of a Homogeneous Scalar Field in Deformed Phase Space
• Probing spacetime noncommutative constant via charged astrophysical black hole lensing
• Hausdorff dimension of a particle path in a quantum manifold
• Tunneling of massive particles from noncommutative inspired Schwarzschild black hole
• Testing regular black holes with X-ray and GW data
• Minimal Scales from an Extended Hilbert Space
• Vector unparticle enhanced black holes: exact solutions and thermodynamics
• Minimum length effects in black hole physics
• Classical resolution of black hole singularities in arbitrary dimension
• Stability of Thin-Shell Wormholes from Noncommutative BTZ Black Hole
• Wormholes with a barotropic equation of state admitting a one-parameter group of conformal motions
• Tunneling of massive and charged particles from noncommutative Reissner-Nordström black hole
• Planckian charged black holes in ultraviolet self-complete quantum gravity
• Holographic thermalization in noncommutative geometry
• Entanglement entropy and Page curve of black holes with island in massive gravity
• Noncommutative geometry inspired rotating black string
• Photonsphere, shadow, quasinormal modes, and greybody bounds of non-rotating Simpson-Visser black hole
• Charged particles' tunneling from a noncommutative charged black hole
• Non-singular Brans-Dicke collapse in deformed phase space
• Phase transition and entropy inequality of noncommutative black holes in a new extended phase space
• Entropic force approach in a noncommutative charged black hole and the equivalence principle
• Noncommutative Geometry Inspired Entropic Inflation
• The final stage of gravitationally collapsed thick matter layers
• Black holes production in self-complete quantum gravity
• Emission spectra of self-dual black holes
• Thermodynamics of noncommutative high-dimensional AdS black holes with non-Gaussian smeared matter distributions
• Scalar field quasinormal modes of noncommutative high dimensional Schwarzschild-Tangherlini black hole spacetime with smeared matter sources
• New black-to-white hole solutions with improved geometry and energy conditions
• Finite axionic electrodynamics from a new noncommutative approach
• Noncommutative Geometry Inspired Rotating Black Hole in Three Dimensions
• Perturbing microscopic black holes inspired by noncommutativity
• Quantum tunneling and spectroscopy of noncommutative inspired Kerr black hole
• Quantum fields in the background spacetime of a loop quantum gravity black hole
• Nonsingular black holes in Palatini extensions of General Relativity
• The Good, the Bad, and the Ugly of Gravity and Information
• Fluid sphere: stability problem and dimensional constraint
• Noncommutative Extension of AdS-CFT and Holographic Superconductors
• Discrete torsion, de Sitter tunneling vacua and AdS brane: U(1) gauge theory on D4-brane and an effective curvature
• Quantum Kerr tunneling vacua on a $(D\bar{D}{)}_4$-brane: An emergent Kerr black hole in five dimensions
• Shadows and quasinormal modes of a charged non-commutative black hole by different methods
• Macroscopic wormholes in noncommutative geometry
• Stability of self-dual black holes
• Emergent Schwarzschild and Reissner-Nordstrom black holes in 4D: An effective curvature sourced by a B2-field on a D4-brane
• Dynamically self-regular quantum harmonic black holes
• Particle production and transplanckian problem on the non-commutative plane
• Gravitational Collapse of the Shells with the Smeared Gravitational Source in Noncommutative Geometry
• Stability analysis of Lower Dimensional Gravastars in noncommutative geometry
• The instability of the inner horizon of the quantum-corrected black hole
• Quantum Kerr(Newman) degenerate stringy vacua in 4D on a non-BPS brane
• Finite Quantum Gravity
• A General Class of Regular Black Holes based on a Smeared Mass Distribution
• Causality Aspects of Modified Kerr-Newman spacetimes
• Noncommutative geometry inspired 3-dimensional charged black hole solution in an anti-de Sitter background space-time
• Planck-scale nonthermal correlations in a noncommutative geometry inspired Vaidya black hole
• Charged rotating BTZ black holes in noncommutative spaces and torsion gravity
• Some aspects of entropic gravity in the presence of a noncommutative Schwarzschild-deSitter black hole
• Voros product, noncommutative inspired Reissner-Nordstr{ö}m black hole and corrected area law
• Regular Black Holes and Noncommutative Geometry Inspired Fuzzy Sources
• A comparison of remnants in noncommutative Bardeen black holes
• Remarks on regular black holes
• Noncommutative Solitons of Gravity
• Image of Quantum Improved Regular Kerr Black Hole and Parameter Constraints from EHT Observations
• Greybody factors for higher-dimensional non-commutative geometry inspired black holes
• Spacetime noncommutative effect on black hole as particle accelerators
• Gravitational measurements in higher dimensions
• One more step toward the noncommutative brane inflation
• The Casimir force in noncommutative Randall-Sundrum models
• Thermodynamics of Non-Commutative Scalar-Tensor-Vector Gravity Black holes
• Thermodynamical features of Verlinde's approach for a non-commutative Schwarzschild-anti-deSitter black hole in a broad range of scales
• Quantum Field, Thermodynamics and Black Hole on Coherent State Representation of Fuzzy Space
• Gravitational energy of a noncommutative Vaidya black hole
• Noncommutative Reissner-Nordström black hole from noncommutative charged scalar field
• Three Dimensional Charged Black Hole Inspired by Noncommutative Geometry
• Extra-dimensional generalization of minimum-length deformed QM/QFT and some of its phenomenological consequences
• How strings can explain regular black holes
• Testing Regular Black Holes with X-ray data of GX 339-4
• Self-regular black holes quantized by means of an analogue to hydrogen atoms
• Regularization ambiguity and van der Waals black hole in 2+1 dimensions
• Imprints of non-commutativity on charged black holes
• The coordinate coherent states approach revisited
• Mass generation from a non-perturbative correction: Massive NS-field and graviton in $(3+1)$-dimensions
• Entropic force law in the presence of a noncommutative inspired spacetime for a solar system scale
• Dynamic noncommutative BTZ black holes
• Absorption and scattering of a high dimensional noncommutative black hole
• Noncommutative information is revealed from the static detector outside the black hole
• Geodesic structure of a noncommutative black hole
• Neutrino spin oscillations in gravitational fields in noncommutative higher dimensions
• Proton Decay and the Quantum Structure of Spacetime
• Planckian charged black holes and their cosmological ramifications
• Thermodynamics of Black Holes: Semi-Classical Approaches and Beyond
• Noncommutative black holes in extended anti-de Sitter phase space
• Thermodynamics and phase transitions of $\kappa$-deformed Schwarzschild-AdS black holes