Abstract

An alternative derivation of general relativity is presented in which the field equations are derived from a gauge invariant quadratic Lagrangian by varying the affine field Gamma bca and keeping the geometry fixed. The field equations show that the Gamma bca can be considered as a Christoffel connection of a tensor gab and if, after the variation, the metric tensor is chosen to be this tensor, the field equations of general relativity with a cosmical constant are recovered.

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 call

Disclaimer: 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.