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Noncommutative geometry inspired charged black holes

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arxiv gr-qc/0612035 v1 pith:KNIILJUS submitted 2006-12-06 gr-qc hep-th

Noncommutative geometry inspired charged black holes

classification gr-qc hep-th
keywords geometryblackchargedholesinspiredoriginreissner-nordstroemaway
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We find a new, non-commutative geometry inspired, solution of the coupled Einstein-Maxwell field equations describing a variety of charged, self-gravitating objects, including extremal and non-extremal black holes. The metric smoothly interpolates between deSitter geometry, at short distance, and Reissner-Nordstroem geometry far away from the origin. Contrary to the ordinary Reissner-Nordstroem spacetime there is no curvature singularity in the origin neither "naked" nor shielded by horizons. We investigate both the Hawking process and pair creation in this new scenario.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Consistency in the Quantum-Improved Charged Black Holes

    gr-qc 2026-05 unverdicted novelty 5.0

    Thermodynamic consistency for quantum-improved Reissner-Nordström black holes permits arbitrary radial dependence in both Newton and electromagnetic couplings, while equation-action consistency requires an extra quant...

  2. Thermodynamics and phase transitions of $\kappa$-deformed Schwarzschild-AdS black holes

    gr-qc 2026-04 unverdicted novelty 5.0

    κ-deformation induces critical behavior and phase transitions in uncharged Schwarzschild-AdS black holes with Pc vc/Tc ≈ 0.37 independent of κ and a double-loop G-T structure.

  3. Thermodynamics and phase transitions of $\kappa$-deformed Schwarzschild-AdS black holes

    gr-qc 2026-04 unverdicted novelty 5.0

    κ-deformation of Schwarzschild-AdS induces critical behaviour with P_c v_c/T_c ≃ 0.370, independent of the deformation parameter and near the Van der Waals ratio.

  4. Noncommutative black holes: Topological bulk-boundary correspondence and Binary Merger Bounds

    gr-qc 2026-07 reject novelty 4.0

    For noncommutative RN-AdS black holes, the paper claims bulk and boundary thermodynamic topological charges equal to zero and derives perturbative second-law corrections to the remnant-mass bound.

  5. Weyl conformal geometry vs Riemannian geometry of Weyl gauge invariant dressed metric

    hep-th 2026-06 unverdicted novelty 4.0

    Weyl geometry is equivalent to Riemannian geometry of a non-local dressed metric g*_{\mu\nu} via Wilson lines, with the quadratic and WDBI actions taking the same form in the symmetric phase.