Lanczos potential of Weyl field: interpretations and applications

Abstract An attempt is made to uncover the physical meaning and significance of obscure Lanczos tensor field which regarded as a potential Weyl field. Despite being fundamental building block any metric theory gravity, has not been paid proper attention it deserves. By providing an elucidation on this through its derivation in some particularly chosen spacetimes, we try find adequate interpretation. Though traditionally introduced gravitational analogue electromagnetic 4-potential field, performed study unearths another feature – relativistic Newtonian force A new domain applicability corroborates tensor.