Non-commutative corrections move periodic orbits inward, lower the energy needed for a given orbit shape, and generate gravitational waves with phase shifts plus higher amplitude; a bound Θ/M² < 0.014 is extracted from the S2 star's periastron advance.
Periodic orbits and their gravitational waves in EMRIs: supermas- sive black hole affected by galactic dark matter halos
7 Pith papers cite this work. Polarity classification is still indexing.
abstract
Periodic orbits exhibiting zoom-whirl behavior have become attractive topics for studying particle dynamics and gravitational wave emission in extreme-mass-ratio inspirals (EMRIs). This study systematically investigates periodic orbits around black holes and their gravitational wave radiation in three dark matter halo environments: NFW, Beta, and Moore models. The dark matter distribution in these models can be effectively incorporated using two parameters -- the dark matter characteristic mass and halo characteristic radius. Our results reveal that for a larger dark matter mass and a smaller characteristic radius, the shapes of the periodic orbits and the corresponding gravitational waveforms show more significant deviations from the Schwarzschild case. As the halo characteristic radius increases, the orbital shapes and waveform characteristics gradually converge with the Schwarzschild black hole results. Our results also suggest that the NFW and Beta models produce nearly indistinguishable results, while the Moore model shows distinct signatures compared with Beta/NFW models. Furthermore, calculations of characteristic strains in frequency spectra show that gravitational-wave signals associated with these periodic orbits lie above the sensitivity curves of LISA, TianQin, and Taiji, indicating their detectability in future space-based gravitational wave observatories. These findings deepen our understanding of dark matter halo effects on periodic motions and gravitational wave signatures. Keywords: GR black holes; Gravitational waves in GR and beyond: theory; dark matter theory; astrophysical black holes
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background 2representative citing papers
Periodic orbits in Euler-Heisenberg black holes surrounded by perfect fluid dark matter produce burst-like gravitational wave signals whose amplitude and frequency content are modified by both dark matter density and QED parameters.
Deviations from γ=1 in the Zipoy-Voorhees metric shift the (z,w,v) classification of periodic orbits and induce phase shifts plus amplitude modulations in their gravitational-wave signals.
Quintessence parameter cq systematically shifts zoom-whirl periodic orbits and their numerical-kludge EMRI waveforms around a magnetically charged nonlinear-electrodynamics black hole into the LISA millihertz band.
The quantum parameter ξ in an asymptotically safe regular black hole shifts the innermost stable orbit, enhances whirl behavior in periodic geodesics, and produces amplitude-modulated millihertz gravitational-wave strains whose peak amplitude grows with ξ, placing them inside the sensitivity bands预计
EFTGR black-hole periodic orbits follow the (z,w,v) taxonomy and emit zoom-whirl waveforms whose phase, not amplitude, is sensitive to the EFTGR coupling ϵ1.
Numerical study of timelike geodesics and millihertz gravitational waves from periodic orbits around a Schwarzschild black hole embedded in a (1,4,γ) Dehnen dark matter halo.
citing papers explorer
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Gravitational Wave Signatures from Periodic Orbits around a Non--commutative Schwarzschild Black Hole
Non-commutative corrections move periodic orbits inward, lower the energy needed for a given orbit shape, and generate gravitational waves with phase shifts plus higher amplitude; a bound Θ/M² < 0.014 is extracted from the S2 star's periastron advance.
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Equatorial periodic orbits and gravitational wave signatures in Euler-Heisenberg black holes surrounded by perfect fluid dark matter
Periodic orbits in Euler-Heisenberg black holes surrounded by perfect fluid dark matter produce burst-like gravitational wave signals whose amplitude and frequency content are modified by both dark matter density and QED parameters.
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Periodic orbits and their gravitational wave radiations in $\gamma$-metric
Deviations from γ=1 in the Zipoy-Voorhees metric shift the (z,w,v) classification of periodic orbits and induce phase shifts plus amplitude modulations in their gravitational-wave signals.
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Periodic Timelike Motion and Gravitational Wave Signatures around a Magnetically Charged Black Hole Surrounded by Quintessence
Quintessence parameter cq systematically shifts zoom-whirl periodic orbits and their numerical-kludge EMRI waveforms around a magnetically charged nonlinear-electrodynamics black hole into the LISA millihertz band.
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Probing Gravitational Wave Signatures from Periodic Orbits of Regular Black Holes in Asymptotically Safe Gravity
The quantum parameter ξ in an asymptotically safe regular black hole shifts the innermost stable orbit, enhances whirl behavior in periodic geodesics, and produces amplitude-modulated millihertz gravitational-wave strains whose peak amplitude grows with ξ, placing them inside the sensitivity bands预计
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Gravitational radiations from periodic orbits around a black hole in the effective field theory extension of general relativity
EFTGR black-hole periodic orbits follow the (z,w,v) taxonomy and emit zoom-whirl waveforms whose phase, not amplitude, is sensitive to the EFTGR coupling ϵ1.
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Gravitational Wave Signatures of Schwarzschild Black Hole in a Generalized Dehnen-Type $(1,4,\gamma)$ Dark Matter Halo
Numerical study of timelike geodesics and millihertz gravitational waves from periodic orbits around a Schwarzschild black hole embedded in a (1,4,γ) Dehnen dark matter halo.