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2023

Calculating the Gravitational Waves Emitted from High-speed Sources

Yan, Han, Chen, Xian, Torres-Orjuela, Alejandro

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The possibility of forming gravitational-wave sources with high center-of-mass (c.m.) velocities in the vicinity of supermassive black holes requires us to develop a method of deriving the waveform in the observer's frame.

Here we show that in the limit where the c.m.
velocity is high but the relative velocities of the components of the source are small, we can solve the problem by directly integrating the relaxed Einstein field equation.
In particular, we expand the result into multipole components which can be conveniently calculated given the orbit of the source in the observer's frame.

Calculating the Gravitational Waves Emitted from High-speed Sources · Around

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A. Antoni, M. MacLeod, and E. Ramirez-Ruiz, The Evolution of Binaries in a Gaseous Medium: Three-dimensional Simulations of Binary Bondi-Hoyle-Lyttleton Accretion, Astrophys. J. 884
Original
1901
Earlier work this paper cites.
K. W. K. Wong, V. Baibhav, and E. Berti, Binary radial velocity measurements with space-based gravitational-wave detectors, Monthly Notices of the Royal Astronomical Society 488
Original
1902
Earlier work this paper cites.
C. J. Woodford, M. Boyle, and H. P. Pfeiffer, Compact binary waveform center-of-mass corrections, Phys. Rev. D 100
Original
1904
Earlier work this paper cites.
N. Tamanini, A. Klein, C. Bonvin, E. Barausse, and C. Caprini, Peculiar acceleration of stellar-origin black hole binaries: Measurement and biases with LISA, Phys. Rev. D 101
Original
1907
Earlier work this paper cites.
H. Tagawa, Z. Haiman, and B. Kocsis, Formation and Evolution of Compact-object Binaries in AGN Disks, Astrophys. J. 898
Original
1912
Earlier work this paper cites.
P. C. Peters and J. Mathews, Gravitational Radiation from Point Masses in a Keplerian Orbit, Physical Review 131
1963
Earlier work this paper cites.
P. C. Peters, Gravitational Radiation and the Motion of Two Point Masses, Physical Review 136
1964
Earlier work this paper cites.
L. D. Landau and E. M. Lifshitz, The classical theory of fields (1975)
1975
Earlier work this paper cites.
W. H. Press, Gravitational radiation from sources which extend into their own wave zone, Phys. Rev. D 15
1977
Earlier work this paper cites.
I. G. Dymnikova, A. K. Popov, and A. S. Zentsova, Bursts of Gravitational Radiation from Active Galactic Nuclei and Globular Clusters, Astrophysics and Space Science 85
1982
Earlier work this paper cites.
K. S. Thorne, The theory of gravitational radiation: an introductory review., in Lecture Notes in Physics, Berlin Springer Verlag , Vol. 124 (1983) pp. 1–57
1983
Earlier work this paper cites.
S. W. Hawking and W. Israel, Three hundred years of gravitation (1987)
1987
Earlier work this paper cites.
S. M. Kopeikin and G. Schäfer, Lorentz covariant theory of light propagation in gravitational fields of arbitrary-moving bodies, Phys. Rev. D 60
1999
Earlier work this paper cites.

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