The gravitational wave of the scalar-tensor theory

Abstract

The gravitational wave is discussed in the general space-time with torsion and scalar field. It is shown that there are three types of wave equation: spin-0, spin-1, and spin-2 wave equations. When the effective stress-energy tensors for this gravitational wave is ejaculated, it is found that the additional term due to the scalar field affects them. The existence of the gravitational dipole moment by the spin is tested in the spin-1 vector wave equation.