Differences Between Black Hole Solutions in General Relativity and Conformal Gravity

Although General Relativity (GR) has made a number of predictions that have all been confirmed, it is not a perfect theory; it is incompatible with Quantum Mechanics, making a quantum theory of gravity based in GR impossible. However, Conformal Gravity, a slight alteration of GR, is more compatible with Quantum Mechanics and is thus intriguing to investigate as a possible theory of gravity. Black holes, having singularities, belong to both the large realm of gravity and the small realm of Quantum Mechanics, so we investigate the differences between solutions in GR and Conformal Gravity. We found that Conformal Gravity eliminates the need for a cosmological constant, eliminates the need to account for dark matter in galactic gravity, demonstrates functionally identical vacuum solutions to GR, and has gravitational pull for charged black holes, rather than in GR, where charge creates anti-gravity.