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Shadow and Quasinormal Modes of a Rotating Loop Quantum Black Hole

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arxiv 2003.00477 v3 pith:ZF6I5FKD submitted 2020-03-01 gr-qc astro-ph.HEhep-th

classification gr-qcastro-ph.HEhep-th
keywords shadowblackholerotatingeffectshorizonlooplqbh
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

In this paper, we construct an effective rotating loop quantum black hole (LQBH) solution, starting from the spherical symmetric LQBH by applying the Newman-Janis algorithm modified by Azreg-A\"{i}nou's non-complexification procedure, and study the effects of loop quantum gravity { (LQG) on its shadow}. Given the rotating {LQBH}, we discuss its horizon, ergosurface, and regularity {as} $r \to 0$. Depending on the values of the specific angular momentum $a$ and the polymeric function $P$ arising from {LQG}, we {find} that the rotating solution we obtained can represent a regular black hole, a regular extreme black hole, or a regular spacetime {without horizon (a non-black-hole solution)}. We also {study} the effects of {LQG} and rotation, and {show} that, in addition to the specific angular momentum, the polymeric function {also} causes deformations in the size and shape of the black hole shadow. Interestingly, for a given value of $a$ and inclination angle $\theta_0$, the apparent size of the shadow monotonically decreases, and the shadow gets more distorted with increasing $P$. We also {consider the effects of $P$ on the deviations from the circularity of the shadow, and find} that the deviation from circularity increases with increasing $P$ for fixed values of $a$ and $\theta_0$. Additionally, we explore the observational implications of $P$ in comparison with the latest Event Horizon Telescope (EHT) observation of the supermassive black hole, M$87$. The connection between the shadow radius and quasinormal modes in the eikonal limit as well as {the} deflection of massive particles are also considered.

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Forward citations

Cited by 6 Pith papers

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

  1. Constraints and Consistency of Rotating Regular Black Hole Thermodynamics

    gr-qc 2026-01 reject novelty 6.0 of 10

    For rotating regular black holes, the thermodynamic Hawking temperature is order-dependent under the regularity constraint; only computing in the full phase space before imposing the constraint reproduces the geometri...

  2. Energy Extraction from Loop Quantum Black Holes: The Role of Magnetic Penrose Process and Quantum Gravity Effects with Astrophysical Insights

    gr-qc 2024-12 conditional novelty 5.0 of 10

    In the rotating loop quantum black hole spacetime, the maximum magnetic Penrose process efficiency decreases with the quantum parameter epsilon, from 20.7% at epsilon=0 to about 19.3% at the maximal spin for epsilon=0.3.

  3. On new regular charged black hole solutions: Limiting Curvature Condition, Quasinormal modes and Shadows

    gr-qc 2024-11 conditional novelty 5.0 of 10

    The authors introduce two new regular black hole metrics from nonlinear electrodynamics and two Limiting Curvature Condition versions, with numerical results for stability, shadows, and quasinormal modes.

  4. Thermodynamics and Shadows of Kerr black holes endowed with a global monopole charge

    gr-qc 2025-06 reject novelty 4.0 of 10

    The authors derive shadow and thermodynamic quantities for a Kerr-like metric with a global monopole term in Δ, and claim EHT observations constrain the monopole charge α.

  5. Shadows of rotating black holes in effective quantum gravity

    gr-qc 2024-11 conditional novelty 4.0 of 10

    For two covariant effective quantum gravity black holes, the quantum parameter ζ shrinks the shadow at moderate spin and creates a cuspy shadow edge near extremality.

  6. Observable thin accretion disk around a self-dual black hole in loop quantum gravity

    gr-qc 2025-09 conditional novelty 3.0 of 10

    A self-dual loop quantum black hole is shown to look smaller and brighter than Schwarzschild in thin disk models, with the polymer parameter P bounded by Mercury and S2 star data.

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