An alternative to dark matter

The purpose of this thesis is to introduce a new gravitational force. This new force is described by an anti-symmetric tensor as is electromagnetism, but the force is gravitational in that the acceleration of the particle is independent of its mass. We have applied this force to a rotating disk galaxy and found that it produced the flat rotation curves for stellar orbital speeds without the need to introduce dark matter. We have also studied the effects of this new force on galaxy clusters and found that it acted like an additional mass in each galaxy. In other words, this new force can gravitationally bind these systems without invoking dark matter. Finally, we have looked at the effects of this new force on gravitational lensing. Here we found that the new force produced an additional deflection that can be much larger than that predicted by general relativity, without the need for dark matter.