Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1995-06-06
Class.Quant.Grav.12:1733-1738,1995
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
12 pages, plain Tex, no figures, accepted for publication in Classical and Quantum Gravity
Scientific paper
10.1088/0264-9381/12/7/015
A recent analysis of real general relativity based on multisymplectic techniques has shown that boundary terms may occur in the constraint equations, unless some boundary conditions are imposed. This paper studies the corresponding form of such boundary terms in complex general relativity, where space-time is a four-complex-dimensional complex-Riemannian manifold. A complex Ricci-flat space-time is recovered providing some boundary conditions are imposed on two-complex-dimensional surfaces. One then finds that the holomorphic multimomenta should vanish on an arbitrary three-complex-dimensional surface, to avoid having restrictions at this surface on the spinor fields which express the invariance of the theory under holomorphic coordinate transformations. The Hamiltonian constraint of real general relativity is then replaced by a geometric structure linear in the holomorphic multimomenta, and a link with twistor theory is found. Moreover, a deep relation emerges between complex space-times which are not anti-self-dual and two-complex-dimensional surfaces which are not totally null.
Esposito Giampiero
Stornaiolo Cosimo
No associations
LandOfFree
Boundary Terms in Complex General Relativity 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 Boundary Terms in Complex General Relativity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Boundary Terms in Complex General Relativity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-720553