https://doi.org/10.1140/epjc/s10052-018-6227-9
Regular Article - Theoretical Physics
Constraints on scalar–tensor theory of gravity by the recent observational results on gravitational waves
1
School of Physics, Huazhong University of Science and Technology, Wuhan, 430074, Hubei, China
2
Department of Physics, National Technical University of Athens, Zografou Campus, 157 73, Athens, Greece
* e-mail: yggong@hust.edu.cn
Received:
27
April
2018
Accepted:
7
September
2018
Published online:
15
September
2018
The speed of gravitational waves provides us a new tool to test alternative theories of gravity. The constraint on the speed of gravitational waves from GW170817 and GRB170817A is used to test some classes of Horndeski theory. In particular, we consider the coupling of a scalar field to Einstein tensor and the coupling of the Gauss–Bonnet term to a scalar field. The coupling strength of the Gauss–Bonnet coupling is constrained to be in the order of 
. In the Horndeski theory we show that in order for this theory to satisfy the stringent constraint on the speed of GWs the mass scale M introduced in the non-minimally derivative coupling is constrained to be in the range 
GeV taking also under consideration the early times upper bound for the mass scale M. The large mass ranges require no fine-tuning because the effect of non-minimally derivative coupling is negligible at late times.
© The Author(s), 2018
