Abstract
Ten conservation laws in useful polynomial form are derived from a Cartan form and exterior differential system (EDS) for the tetrad equations of vacuum general relativity. The Noether construction of conservation laws for well-posed EDSs is introduced first, and an illustration given, deriving 15 conservation laws of the free field Maxwell equations from symmetries of its EDS. The Maxwell EDS and tetrad gravity EDS have parallel structures, with their numbers of dependent variables, numbers of generating 2-forms and generating 3-forms, and Cartan character tables all in the ratio of 1 to 4. They have ten corresponding symmetries with the same Lorentz algebra and ten corresponding conservation laws.
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.
