Consistent discretization and loop quantum geometry

Details Consistent discretization and loop quantum geometry Consistent discretization and loop quantum geometry

2004-09-14

arxiv.org/abs/gr-qc/0409057v1

Phys.Rev.Lett. 94 (2005) 101302

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, Revtex, no figures

Scientific paper

10.1103/PhysRevLett.94.101302

We apply the ``consistent discretization'' approach to general relativity leaving the spatial slices continuous. The resulting theory is free of the diffeomorphism and Hamiltonian constraints, but one can impose the diffeomorphism constraint to reduce its space of solutions and the constraint is preserved exactly under the discrete evolution. One ends up with a theory that has as physical space what is usually considered the kinematical space of loop quantum geometry, given by diffeomorphism invariant spin networks endowed with appropriate rigorously defined diffeomorphism invariant measures and inner products. The dynamics can be implemented as a unitary transformation and the problem of time explicitly solved or at least reduced to as a numerical problem. We exhibit the technique explicitly in 2+1 dimensional gravity.

Affiliated with

Also associated with

No associations

Rating

Consistent discretization and loop quantum geometry 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 Consistent discretization and loop quantum geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Consistent discretization and loop quantum geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-415281