Gravitational Monopole Radiation.

We introduced a new set of coupled equations for a scalar field $\phi$, spinor $\psi$$$\slashed{\partial} \psi = 0 ,$$$$ (\Box - \mu^2 ) \phi = \rho, $$$$W^{+}= 2g \; q( \phi \psi )$$to construct a to generalised Brans-Dicke theory namely, via the assumption$$ \langle q(\phi \psi ) \rangle = G^{-1}, $$ $G$ is Newton's Gravitational constant.As a consequence the author found a total "monopole radiation" formula,$$ P = \frac{2 \widetilde \chi_2}{\pi } (R \Delta R )^2 \omega^6 M^2 . $$The author also found a formula of light deflection due to the monopole that carries a modification of the usual deflection formula by including the coupling constant of the theory, $$ \d_{modified} = \bigg( 1 - \frac{4}{3g^2} \widetilde{\chi}_2 \bigg) \d_{Einstein} ,$$with$$ \widetilde{\chi}_2 := \frac{3}{2} g^2 \chi_2 . $$One may notice, in the \emph{large-coupling limit} $g \rightarrow + \infty$$$ \lim_{g \rightarrow + \infty } \d_{modified} = \d_{Einstein} .$$ The $g \rightarrow 0$ requires a separate discussion as$$ \lim_{g \rightarrow 0} \d_{modified} = -\infty. $$In case of star similar to the Sun with a period of oscillation of order of days $\omega = 10^{-5}\; s^{-1} $$$ P = - 1.5 \times 10^{21} \; \text{ergs/s}\; (\Delta R /R)^2 .$$For Quasars $M = 10^{39} g $, $R = 10^{17} cm$, $M = 10^{39} g$, $\omega = 10^{-7} \; s^{-1} $ gives$$ P = - 1.5 \times 10^{50} \; \text{ ergs/s} \; (\Delta R /R)^2 , \;\; 0.01 \leq \Delta R /R \leq 0.1 .$$