Evolutionary Laws, Initial Conditions, and Gauge Fixing in Constrained Systems

Details Evolutionary Laws, Initial Conditions, and Gauge Fixing in Constrained Systems Evolutionary Laws, Initial Conditions, and Gauge Fixing in Constrained Systems

1995-08-25

arxiv.org/abs/gr-qc/9508052v1

Class.Quant.Grav.12:1771-1790,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages; plain TeX. To appear: Classical & Quantum Gravity

Scientific paper

10.1088/0264-9381/12/7/018

We describe in detail how to eliminate nonphysical degrees of freedom in the Lagrangian and Hamiltonian formulations of a constrained system. Two important and distinct steps in our method are the fixing of ambiguities in the dynamics and the determination of inequivalent initial data. The Lagrangian discussion is novel, and a proof is given that the final number of degrees of freedom in the two formulations agrees. We give applications to reparameterization invariant theories, where we prove that one of the constraints must be explicitly time dependent. We illustrate our procedure with the examples of trajectories in spacetime and with spatially homogeneous cosmological models. Finally, we comment briefly on Dirac's extended Hamiltonian technique.

Affiliated with

Also associated with

No associations

Rating

Evolutionary Laws, Initial Conditions, and Gauge Fixing in Constrained Systems 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 Evolutionary Laws, Initial Conditions, and Gauge Fixing in Constrained Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Evolutionary Laws, Initial Conditions, and Gauge Fixing in Constrained Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-148562