Exploring Low-Frequency Gravitational Wave Sources: Waveforms, Detection and Sciences

A special issue of Universe (ISSN 2218-1997). This special issue belongs to the section "Gravitation".

Deadline for manuscript submissions: 31 December 2025 | Viewed by 2816

Special Issue Editors


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Guest Editor
Shanghai Astronomical Observatory, CAS, Shanghai 200030, China
Interests: gravitational waves; tests of theories of gravity; machine learning; black hole physics
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Guest Editor
Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
Interests: gravitational waves; space-borne laser interferometry; metrology; precise measurement
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
Shanghai Astronomical Observatory, Chineses Academy of Sciences, Shanghai, China
Interests: gravitational wave astronomy

Special Issue Information

Dear Colleagues,

Gravitational wave astronomy has developed significantly since the first detection of gravitational waves in 2015. Various detection methods will realize multi-wavelength observation, including ground-based or space-borne interferometers and pulsar timing arrays. In particular, the latter two will open a low-frequency window for observing gravitational waves, that is, Hz. They will enable the study of gravitational wave physics in the unexplored parameter space of strain and frequency, and then allow for an in-depth understanding of gravitational waves.

In this Special Issue, we will focus on low-frequency gravitational wave sources, waveform templates, data analysis, pipeline software development, and gravitational wave astronomy and physics such as astrophysical environments, tests of theories of gravity, cosmology, and black hole physics.

We welcome contributions on theories, simulations, and data analysis.

Prof. Dr. Wenbiao Han
Prof. Dr. Ziren Luo
Dr. Shucheng Yang
Guest Editors

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Keywords

  • gravitational waves
  • black holes
  • tests of theories of gravity
  • machine learning
  • data analysis

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Published Papers (4 papers)

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Research

32 pages, 3983 KiB  
Article
Parameter Estimation Precision with Geocentric Gravitational Wave Interferometers: Monochromatic Signals
by Manoel Felipe Sousa, Tabata Aira Ferreira and Massimo Tinto
Universe 2025, 11(4), 122; https://doi.org/10.3390/universe11040122 - 7 Apr 2025
Viewed by 245
Abstract
We present a Fisher information matrix study of the parameter estimation precision achievable by a class of future space-based, “mid-band”, gravitational wave interferometers observing monochromatic signals. The mid-band is the frequency region between that accessible by the Laser Interferometer Space Antenna (LISA) and [...] Read more.
We present a Fisher information matrix study of the parameter estimation precision achievable by a class of future space-based, “mid-band”, gravitational wave interferometers observing monochromatic signals. The mid-band is the frequency region between that accessible by the Laser Interferometer Space Antenna (LISA) and ground-based interferometers. We analyze monochromatic signals observed by the TianQin mission, gLISA (a LISA-like interferometer in a geosynchronous orbit) and a descoped gLISA mission, gLISAd, characterized by an acceleration noise level that is three orders of magnitude worse than that of gLISA. We find that all three missions achieve their best angular source reconstruction precision in the higher part of their accessible frequency band, with an error box better than 1010 sr in the frequency band [101,10] Hz when observing a monochromatic gravitational wave signal of amplitude h0=1021 that is incoming from a given direction. In terms of their reconstructed frequencies and amplitudes, TianQin achieves its best precision values in both quantities in the frequency band [102,4×101] Hz, with a frequency precision σfgw=2×1011 Hz and an amplitude precision σh0=2×1024. gLISA matches these precisions in a frequency band slightly higher than that of TianQin, [3×102,1] Hz, as a consequence of its smaller arm length. gLISAd, on the other hand, matches the performance of gLISA only over the narrower frequency region, [7×101,1] Hz, as a consequence of its higher acceleration noise at lower frequencies. The angular, frequency, and amplitude precisions as functions of the source sky location are then derived by assuming an average signal-to-noise ratio of 10 at a selected number of gravitational wave frequencies covering the operational bandwidth of TianQin and gLISA. Similar precision functions are then derived for gLISAd by using the amplitudes resulting in the gLISA average SNR being equal to 10 at the selected frequencies. We find that, for any given source location, all three missions display a marked precision improvement in the three reconstructed parameters at higher gravitational wave frequencies. Full article
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12 pages, 784 KiB  
Article
Thermal Profile of Accretion Disk Around Black Hole in 4D Einstein–Gauss–Bonnet Gravity
by Odilbek Kholmuminov, Bakhtiyor Narzilloev and Bobomurat Ahmedov
Universe 2025, 11(2), 38; https://doi.org/10.3390/universe11020038 - 26 Jan 2025
Viewed by 615
Abstract
In this study, we investigate the properties of a thin accretion disk around a static spherically symmetric black hole in 4D Einstein–Gauss–Bonnet gravity, with an additional coupling constant, α, appearing in the spacetime metric. Using the Novikov–Thorne accretion disk model, we examine [...] Read more.
In this study, we investigate the properties of a thin accretion disk around a static spherically symmetric black hole in 4D Einstein–Gauss–Bonnet gravity, with an additional coupling constant, α, appearing in the spacetime metric. Using the Novikov–Thorne accretion disk model, we examine the thermal properties of the disk, finding that increasing α reduces the energy, angular momentum, and effective potential of a test particle orbiting the black hole. We demonstrate that α can mimic the spin of a Kerr black hole in general relativity up to a 0.23 M for the maximum value of α. Our analysis of the thermal radiation flux shows that larger α values increase the flux and shift its maximum towards the central black hole, while far from the black hole, the solution recovers the Schwarzschild limit. The impact of α on the radiative efficiency of the disk is weak but can slightly alter it. Assuming black-body radiation, we observe that the disk’s temperature peaks near its inner edge and is higher for larger α values. Lastly, the electromagnetic spectra reveal that the disk’s luminosity is lower in Einstein–Gauss–Bonnet gravity compared to general relativity, with the peak luminosity shifting toward higher frequencies, corresponding to the soft X-ray band as α increases. Full article
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22 pages, 3351 KiB  
Article
Distinguishing Compact Objects in Extreme-Mass-Ratio Inspirals by Gravitational Waves
by Lujia Xu, Shucheng Yang, Wenbiao Han, Xingyu Zhong, Rundong Tang and Yuanhao Zhang
Universe 2025, 11(1), 18; https://doi.org/10.3390/universe11010018 - 13 Jan 2025
Cited by 2 | Viewed by 677
Abstract
Extreme-mass-ratio inspirals (EMRIs) are promising gravitational-wave (GW) sources for space-based GW detectors. EMRI signals typically have long durations, ranging from several months to several years, necessitating highly accurate GW signal templates for detection. In most waveform models, compact objects in EMRIs are treated [...] Read more.
Extreme-mass-ratio inspirals (EMRIs) are promising gravitational-wave (GW) sources for space-based GW detectors. EMRI signals typically have long durations, ranging from several months to several years, necessitating highly accurate GW signal templates for detection. In most waveform models, compact objects in EMRIs are treated as test particles without accounting for their spin, mass quadrupole, or tidal deformation. In this study, we simulate GW signals from EMRIs by incorporating the spin and mass quadrupole moments of the compact objects. We evaluate the accuracy of parameter estimation for these simulated waveforms using the Fisher Information Matrix (FIM) and find that the spin, tidal-induced quadruple, and spin-induced quadruple can all be measured with precision ranging from 102 to 101, particularly for a mass ratio of ∼104. Assuming the “true” GW signals originate from an extended body inspiraling into a supermassive black hole, we compute the signal-to-noise ratio (SNR) and Bayes factors between a test-particle waveform template and our model, which includes the spin and quadrupole of the compact object. Our results show that the spin of compact objects can produce detectable deviations in the waveforms across all object types, while tidal-induced quadrupoles are only significant for white dwarfs, especially in cases approaching an intermediate-mass ratio. Spin-induced quadrupoles, however, have negligible effects on the waveforms. Therefore, our findings suggest that it is possible to distinguish primordial black holes from white dwarfs, and, under certain conditions, neutron stars can also be differentiated from primordial black holes. Full article
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15 pages, 4625 KiB  
Article
Frequency Shift of Electromagnetic Radiation Around Charged Hayward Black Hole
by Bakhodirkhon Saidov, Bakhtiyor Narzilloev, Ahmadjon Abdujabbarov, Malika Khudoyberdieva and Bobomurat Ahmedov
Universe 2024, 10(12), 454; https://doi.org/10.3390/universe10120454 (registering DOI) - 12 Dec 2024
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Abstract
In this work, we investigate spacetime and photon dynamics around a charged Hayward black hole, focusing on the effects of electric charge Q and the length factor l. Our analysis shows that the maximum charge for black hole existence decreases as l [...] Read more.
In this work, we investigate spacetime and photon dynamics around a charged Hayward black hole, focusing on the effects of electric charge Q and the length factor l. Our analysis shows that the maximum charge for black hole existence decreases as l increases, vanishing at l/M0.77. The black hole has both inner and outer horizons, with the outer horizon shrinking and the inner horizon expanding as spacetime parameters increase. The spacetime curvature, measured by the Kretschmann scalar, is most pronounced when both parameters are small, resembling the Schwarzschild black hole. The electric charge strongly influences the curvature and photon sphere size, while the effect of the length factor is less significant. Additionally, the gravitational redshift of photons is more sensitive to the electric charge of the compact object than the length factor, diminishing as Q increases and with greater radial distance from the black hole. Overall, while both spacetime parameters affect black hole properties, the electric charge has a slightly stronger impact, especially on gravitational redshift and photon behavior. Full article
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