Static Configuration with Spherical Symmetry in Conformal Gravitation: Vacuum Solution

Abstract

The oscillating model of conformal gravity is considered. The static solution is studied in vacuum-dominated conformal gravitation, which is modeled by scalar field χ(x). The vacuum solution (χ = 0, Tμν = 0) in Einstein's gauge φ(x) = φ0 = const being considered, the Newtonian potential is obtained. The significance of the additional term in the potential is also discussed.