Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2001-11-14
Lect.Notes Phys. 604 (2002) 195-222
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
22 pages. Will appear in the proceedings of the internationl workshop on the conformal structure of spacetime (Tuebingen, Germ
Scientific paper
One method of studying the asymptotic structure of spacetime is to apply Penrose's conformal rescaling technique. In this setting, the Einstein equations for the metric and the conformal factor in the unphysical spacetime degenerate where the conformal factor vanishes, namely at the boundary representing null infinity. This problem can be avoided by means of a technique of H. Friedrich, which replaces the Einstein equations in the unphysical spacetime by an equivalent system of equations which is regular at the boundary. The initial value problem for these equations produces a system of constraint equations known as the conformal constraint equations. This work describes some of the properties of the conformal constraint equations and develops a perturbative method of generating solutions near flat space under certain simplifying assumptions.
No associations
LandOfFree
Exploring the Conformal Constraint Equations 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 Exploring the Conformal Constraint Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exploring the Conformal Constraint Equations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-355482