Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1995-08-30
NuovoCim.B111:271-274,1996
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
5 pages, plain-tex
Scientific paper
10.1007/BF02724650
Recent work in the literature has shown that general relativity can be formulated in terms of a jet bundle which, in local coordinates, has five entries: local coordinates on Lorentzian space-time, tetrads, connection one-forms, multivelocities corresponding to the tetrads and multivelocities corresponding to the connection one-forms. The derivatives of the Lagrangian with respect to the latter class of multivelocities give rise to a set of multimomenta which naturally occur in the constraint equations. Interestingly, all the constraint equations of general relativity are linear in terms of this class of multimomenta. This construction has been then extended to complex general relativity, where Lorentzian space-time is replaced by a four-complex-dimensional complex-Riemannian manifold. One then finds a holomorphic theory where the familiar constraint equations are replaced by a set of equations linear in the holomorphic multimomenta, providing such multimomenta vanish on a family of two-complex-dimensional surfaces. In quantum gravity, the problem arises to quantize a real or a holomorphic theory on the extended space where the multimomenta can be defined.
Esposito Giampiero
Stornaiolo Cosimo
No associations
LandOfFree
Linear Form of Canonical 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 Linear Form of Canonical Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Linear Form of Canonical Gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-260071