On the measurement of the speed of gravitational waves
Department of Physics and Astronomy, Sun Yat-Sen University, 519082, Zhuhai, China
2 School of Physics, Peking University, 100871, Beijing, China
Accepted: 24 March 2021
Published online: 1 April 2021
The accurate measurement of the speed of gravitational waves (GWs) is very important for fundamental physics. In this paper, by taking cosmological effect into consideration, we derive a new formula to calculate the speed of GWs on the basis of GW 170817-like events. We find that in the case of high redshift, the luminosity distance used in the previous calculation of the speed of GWs needs to be replaced by co-moving distance. We consider some possible electromagnetic counterparts of gravitational-wave events which can significantly reduce the intrinsic uncertainty between the emission times of the gravitational and electromagnetic signals. Optimistically, the measurement accuracy will be improved to m s.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021