SPHERICALLY-SYMMETRIC GRAVITATIONAL FIELDS IN CONFORMAL GRAVITY AND THEIR SOURCES

Abstract:

Conformal Gravity¹ (CG) was proposed as a possible alternative to Einstein gravity (“GR”), which may supply the proper framework for a solution to some of the most annoying problems of theoretical physics like those of the cosmological constant, the dark matter and the dark energy. It is based on the Weyl tensor C_κλμν such that the gravitational Lagrangian and the field equations are

where α is a dimensionless positive parameter, T_μν is the energy-momentum tensor and Bach tensor W_μν replaces the Einstein tensor of GR…