53.088.23
53.088.6
52
53
520
521
523
524
52-1
52-6
41.00
29.35
29.31
29.33
29.27
29.05
03.06.01
03.05.01
03.04.03
2
223
614
6135
SCI004000
SCI005000
We analyze a systematic effect in the standard coordinate transformation of a gravitational-wave signal from the source to the detector reference frame. It is shown that, despite the mathematically correct application of the canonical Arnowitt–Deser–Misner transform (ADM formalism), the estimated characteristic mass of the source (a binary system of merging black holes) turns out to be affected by a systematic error if the mass estimation is based on the the time derivative of the signal frequency obtained in the detector reference frame, and not in the source reference frame. This systematic error leads to a significant overestimation of distances to gravitational wave sources, which reduces the probability that large ground-based telescopes detect possible electromagnetic afterglows associated with gravitational wave sources.
stars: black holes; gravitational waves; methods: analytical
1. Abbott B.P., Abbott R., Abbott T.D., et al., 2016, Physical Review Letters, 116, id. 061102
2. Abbott B.P., Abbott R., Abbott T.D., et al., 2017, Annalen der Physik, 529, 1-2, id. 1600209
3. Abbott B.P., Abbott R., Abbott T.D., et al., 2019, Physical Review X, 9, id. 031040
4. Abbott B.P., Abbott R., Abbott T.D., et al., 2020a, Astrophysical Journal Letters, 892, L3
5. Abbott R., Abbott T.D., Abraham S., et al., 2020b, Astrophysical Journal Letters, 896, L44
6. Abbott R., Abbott T.D., Abraham S., et al., 2020c, Physical Review D, 102, id. 043015
7. Arnowitt R., Deser S., Misner C.M., 1959, Physical Review, 116, p. 1322
8. Landau L.D. and Lifshitz E.M., 1960, The Course of Theoretical Physics. Volume 2. The Classical Theory of Fields, Fizmatlit, Moscow
9. Nitz A.H., Dent T., Davies G.S., et al., 2020, Astrophysical Journal, 891, 123
10. Peters P.C. and Mathews J., 1963, Physical Review, 131, p. 435.
11. Schafer G., 1985, Annals of Physics, 161, p. 81
12. Schafer G. and Jaranowski P., 2018, Living Reviews in Relativity, 21, id. 7
13. Venumadhav T., Zackay B., Roulet J., et al., 2020, Physical Review D, 101, id. 083030
14. Yershov V.N., Raikov A.A., Popova E.A., 2023, Physica Scripta, 98, 7, id. 070519
15. Zeldovich Ya.B. and Novikov I.D., 1967, Relativistic Astrophysics, Nauka, Moscow, p. 82
