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Gravitational waveforms from periodic orbits around a Schwarzschild black hole embedded in a Dehnen-type dark matter halo

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arxiv 2504.05236 v1 pith:NPV2DIXD submitted 2025-04-07 gr-qc

Mirzabek Alloqulov , Tursunali Xamidov , Sanjar Shaymatov , Bobomurat Ahmedov This is my paper · ORCID
classification gr-qc
keywords gravitationalhaloorbitsblackholeparticlearoundbehavior
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In this paper, we study the periodic orbits, characterized by zoom-whirl behavior, around a Schwarzschild-like black hole (BH) embedded within a Dehnen-type dark matter (DM) halo. We demonstrate how the DM halo modifies the gravitational dynamics of the black hole, influencing the energy and angular momentum of timelike particle geodesics and enhancing their interaction with the BH. We determine the radii of the marginally bound orbits (MBOs) and innermost stable circular orbits (ISCOs), showing that the DM halo increases both. This provides a deeper understanding of how the DM alters the behavior, energy, and angular momentum of timelike particle geodesics. Furthermore, we explore the gravitational waveforms emitted by a timelike particle in periodic orbits around a supermassive black hole (SMBH) within this BH-DM system. Using a semi-analytical approach, we calculate particle trajectories and derive the corresponding waveforms, demonstrating that the DM halo modifies the zoom-whirl orbital behavior, leading to distinct changes in the waveform structure. Our findings suggest that future gravitational wave (GW) observations could constrain the properties of DM halos surrounding BHs, providing new insights into the gravitational wave signatures arising from the interaction between BH gravity and DM.

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Cited by 9 Pith papers

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

  1. Black hole spacetimes with dark matter spikes: Energy-momentum tensor and backreaction effects

    gr-qc 2025-11 conditional novelty 6.0 of 10

    A dark-matter spike built from the full orbital motion of its particles has ~50% more energy density near the black hole and produces metric deviations ~2.5 times larger than mass-only models.

  2. Rational Orbits and Gravitational Waves in Static Spherical Spacetimes: An Open-Source Numerical Framework

    gr-qc 2026-06 conditional novelty 5.0 of 10

    Open-source numerical package for rational orbits and gravitational waves in static spherically symmetric spacetimes, validated on Schwarzschild and applied to an IMBH-Sgr A* EMRI.

  3. Gravitational radiations from periodic orbits around a black hole in the effective field theory extension of general relativity

    gr-qc 2025-12 unverdicted novelty 5.0 of 10

    Periodic orbits around EFTGR black holes produce gravitational waveforms whose substructures increase in complexity with higher zoom numbers.

  4. Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos

    gr-qc 2025-11 conditional novelty 5.0 of 10

    A Schwarzschild black hole embedded in a Dehnen dark-matter halo admits homoclinic orbits, and raising halo density, scale radius, or particle energy drives near-horizon motion from regular to chaotic while respecting...

  5. Beyond general relativity: gravitational waves in non-minimally coupled theories

    gr-qc 2025-10 conditional novelty 5.0 of 10

    A generalized propagation parameterization for gravitational-wave strains is extended to O(H²) and O(H′), then mapped to Kalb-Ramond, axion-dilaton–Chern-Simons–Gauss-Bonnet, and U(1) dark-photon models.

  6. Gravitational wave signatures of magnetized Ernst black hole

    gr-qc 2026-07 conditional novelty 4.0 of 10

    Magnetic fields in the Ernst black-hole spacetime alter zoom-whirl EMRI waveforms, spectra, and characteristic strain in ways the authors claim LISA-class detectors could probe.

  7. Periodic Timelike Motion and Gravitational Wave Signatures around a Magnetically Charged Black Hole Surrounded by Quintessence

    gr-qc 2026-06 unverdicted novelty 4.0 of 10

    Quintessence shifts orbital radii, turning points, and zoom-whirl parameters for timelike geodesics around a magnetically charged black hole, producing burst-like gravitational waveforms whose phase, timing, and milli...

  8. Quasinormal Modes of Schwarzschild Black Holes in the Dehnen-(1, 4, 5/2) Type Dark Matter Halos

    gr-qc 2025-05 reject novelty 4.0 of 10

    Quasinormal mode frequencies of a Schwarzschild black hole in a Dehnen-(1,4,5/2) dark matter halo are computed and found to decrease as halo density or core radius increases, with stability preserved.

  9. New analytical model of rotating black hole with dark matter halo: constraints from EHT observations and accretion disk

    gr-qc 2025-08 reject novelty 3.0 of 10

    A Newman-Janis rotation of a Dehnen dark-matter-halo black hole gives shadow sizes matching EHT images only when halo density and scale parameters are relatively high.

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