Real sector of the nonminimally coupled scalar field to self-dual gravity

Details Real sector of the nonminimally coupled scalar field to self-dual gravity Real sector of the nonminimally coupled scalar field to self-dual gravity

1999-03-12

arxiv.org/abs/gr-qc/9903043v1

J.Math.Phys. 40 (1999) 1504-1517

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex file, 22 pages, no figures

Scientific paper

10.1063/1.532818

A scalar field nonminimally coupled to gravity is studied in the canonical framework, using self-dual variables. The corresponding constraints are first class and polynomial. To identify the real sector of the theory, reality conditions are implemented as second class constraints, leading to three real configurational degrees of freedom per space point. Nevertheless, this realization makes non-polynomial some of the constraints. The original complex symplectic structure reduces to the expected real one, by using the appropriate Dirac brackets. For the sake of preserving the simplicity of the constraints, an alternative method preventing the use of Dirac brackets, is discussed. It consists of converting all second class constraints into first class by adding extra variables. This strategy is implemented for the pure gravity case.

Affiliated with

Also associated with

No associations

Rating

Real sector of the nonminimally coupled scalar field to self-dual gravity 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 sector of the nonminimally coupled scalar field to self-dual gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Real sector of the nonminimally coupled scalar field to self-dual gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-667395