Abstract
This lecture will focus on the vierbein formalism for incorporating spinor fields in General Relativity. The vierbein formalism is fundamentally related to the notion of local Lorentz invariance in the tangent space, and may be considered regardless of the presence of spinor fields. The field equations are derived from the action and compared to those found in the standard formalism. Finally, the Clifford algebra and spinor fields are embodied in the formalism, the field equations are obtained from an action principle and compared to the previous equations. Unlike the previous cases, when spinor matter is incorporated there is an ambiguity in the resulting field equations, depending on which fields are chosen to be independent dynamical variables. At present, there are no data to guideus to the correct version.KeywordsCovariant DerivativeDirac EquationEinstein EquationLorentz TransformationClifford AlgebraThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
