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Weak field approximate solutions in the Lambda-->0 limit of a model of deSitter gravity have been presented in the static and spherically symmetriccase. Although the model looks different from general relativity, among thosesolutions, there still exist the weak Schwarzschild fields with the smoothconnection to regular internal solutions obeying the Newtonian gravitationallaw. The existence of such solutions would determine the value of the couplingconstant, which is different from that of the previous literature. Moreover,there also exist solutions that could deduce the galactic rotation curveswithout invoking dark matter.

Weak field approximation in a model of de Sitter gravity: Schwarzschild solutions and galactic rotation curves