  Following the ideas of effective field theories, we derive classically
effective field equations of recently developed Lorentz gauge theory of
gravity. It is shown that Newton's gravitational constant emerges as an
effective coupling parameter if an extremely small length is integrated out of
the underlying theory. The linear version of the effective theory is shown to
be fully consistent with the Newtonian gravity. We also derive a numerical
solution for the interior of a star and show that in the non-linear regions,
the behavior of the effective theory deviates from the predictions of general
relativity.
