  Weak field approximate solutions in the Lambda-->0 limit of a model of de
Sitter gravity have been presented in the static and spherically symmetric
case. Although the model looks different from general relativity, among those
solutions, there still exist the weak Schwarzschild fields with the smooth
connection to regular internal solutions obeying the Newtonian gravitational
law. The existence of such solutions would determine the value of the coupling
constant, which is different from that of the previous literature. Moreover,
there also exist solutions that could deduce the galactic rotation curves
without invoking dark matter.
