Physics
Scientific paper
Jul 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvd..36..351s&link_type=abstract
Physical Review D (Particles and Fields), Volume 36, Issue 2, 15 July 1987, pp.351-374
Physics
18
Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Canonical Formalism, Lagrangians, And Variational Principles
Scientific paper
We investigate the Stephenson-Kilmister-Yang (SKY) gravitational Lagrangian in the framework of SO(3,1) gauge theories. It is proved that by an appropriate choice of dynamical variables this theory can be cast in a Hamiltonian form. Thirty-six dynamical variables Xk (α)(β),Yk(α)(β) resemble the electric field and the magnetic induction in Yang-Mills theories of internal symmetries. Their evolution is governed by a Maxwell-type system of differential equations. There are 16 constraints for the initial values of the dynamical variables, of which 10 are first class and 6 are second class. The full gauge group of the theory is parametrized by 13 ``functions'' on spacetime and is essentially larger than the 10-parameter full gauge group of generic SO(3,1) theories of gravity. Additional 3-parameter gauge transformations in the set of field variables are generated by a nonstandard action of Lorentz boosts. There are 3 gauge variables related to these transformations. Only 10 of the 13 gauge transformations act independently in the set of dynamical variables. Therefore the theory has 36-(16+10)=10 independent degrees of freedom in the phase space. It is also shown that the SKY gravity naturally couples to matter Yang-Mills fields maintaining all of its features. A brief discussion of a conceivable coupling with vector matter fields is presented.
No associations
LandOfFree
Stephenson-Kilmister-Yang theory of gravity and its dynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Stephenson-Kilmister-Yang theory of gravity and its dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stephenson-Kilmister-Yang theory of gravity and its dynamics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-792439