  Whenever an alternative theory of gravity is formulated in a background
Minkowski space, the conditions characterizing admissible coordinate systems,
in which the alternative theory of gravity may be applied, play an important
role. We here propose Lorentz covariant coordinate conditions for the composite
theory of pure gravity developed from the Yang-Mills theory based on the
Lorentz group, thereby completing this previously proposed higher derivative
theory of gravity. The physically relevant static isotropic solutions are
determined by various methods, the high-precision predictions of general
relativity are reproduced, and an exact black-hole solution with mildly
singular behavior is found.
