UDK 53.088.23
UDK 53.088.6
UDK 52
UDK 53
UDK 520
UDK 521
UDK 523
UDK 524
UDK 52-1
UDK 52-6
GRNTI 41.00
GRNTI 29.35
GRNTI 29.31
GRNTI 29.33
GRNTI 29.27
GRNTI 29.05
OKSO 03.06.01
OKSO 03.05.01
OKSO 03.04.03
BBK 2
BBK 223
TBK 614
TBK 6135
BISAC SCI004000 Astronomy
BISAC SCI005000 Physics / Astrophysics
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
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