Still under construction, but the story ends with the quite readable The asymmetric Kerr metric as a source of CP violation.
A parity violating theory would be one where left handed solutions exist but not right handed ones. That is not really possible with theories based on general relativity. By construction, manifolds and results obtained using them are independent of the coordinate system. This led me to look at the evidence for parity violation.
Studying the physics of parity violation came the shocking realisation that the conclusions depended entirely on the assumptions and conventions used. Not only that, the chosen conventions were absurd, idiosyncratic and inconsistent with studies of parity elsewhere in physics.
I should give a health warning. These statements have not passed peer review and into publication. One reviewer said the results were obviously wrong while another said they well known. !!