TURKISH PHYSICAL SOCIETY 39th INTERNATIONAL PHYSICS CONGRESS, 31 August - 04 September 2023, pp.235
We present field equations corresponding to gravitational waves and their solutions of
Horndeski theory with an arbitrary potential in an appropriate gauge choice in the linearized
order. These solutions will help us to derive the effects of the arbitrary potential term on
gravitational waves in this order. The arbitrary potential plays the role of a mass of the scalar
field for this theory. We will compare the obtained solutions with the corresponding solutions
of General Relativity, and various alternative gravity theories.