Real Ashtekar Variables for Lorentzian Signature Space-times

Details Real Ashtekar Variables for Lorentzian Signature Space-times Real Ashtekar Variables for Lorentzian Signature Space-times

1994-10-11

arxiv.org/abs/gr-qc/9410014v1

Phys.Rev.D51:5507-5510,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, LATEX, Preprint CGPG-94/10-3

Scientific paper

10.1103/PhysRevD.51.5507

I suggest in this letter a new strategy to attack the problem of the reality conditions in the Ashtekar approach to classical and quantum general relativity. By writing a modified Hamiltonian constraint in the usual $SO(3)$ Yang-Mills phase space I show that it is possible to describe space-times with Lorentzian signature without the introduction of complex variables. All the features of the Ashtekar formalism related to the geometrical nature of the new variables are retained; in particular, it is still possible, in principle, to use the loop variables approach in the passage to the quantum theory. The key issue in the new formulation is how to deal with the more complicated Hamiltonian constraint that must be used in order to avoid the introduction of complex fields.

Affiliated with

Also associated with

No associations

Rating

Real Ashtekar Variables for Lorentzian Signature Space-times 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 Real Ashtekar Variables for Lorentzian Signature Space-times, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Real Ashtekar Variables for Lorentzian Signature Space-times will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-534063