Abstract
The Euler-Lagrange equations corresponding to a Lagrange density which is a function of a symmetric affine connection, Γ i j h , and its first derivatives together with a symmetric tensor gi j, are investigated. In general, by variation of the Γ i j h , these equations will be of second order in Γ i j h . Necessary and sufficient conditions for these Euler-Lagrange equations to be of order one and zero in Γ i j h are obtained. It is shown that if the gi j may be regarded as independent then the only permissible zero order Euler-Lagrange equations are those which ensure that the Γ i j h are precisely the Christoffel symbols of the second kind.
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.
