Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-07-13
Class.Quant.Grav. 21 (2004) 5849-5870
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
32 pages, 5 figures
Scientific paper
10.1088/0264-9381/21/24/010
The problem of comparison of the stationary axisymmetric vacuum solutions obtained within the framework of exact and approximate approaches for the description of the same general relativistic systems is considered. We suggest two ways of carrying out such comparison: (i) through the calculation of the Ernst complex potential associated with the approximate solution whose form on the symmetry axis is subsequently used for the identification of the exact solution possessing the same multipole structure, and (ii) the generation of approximate solutions from exact ones by expanding the latter in series of powers of a small parameter. The central result of our paper is the derivation of the correct approximate analogues of the double-Kerr solution possessing the physically meaningful equilibrium configurations. We also show that the interpretation of an approximate solution originally attributed to it on the basis of some general physical suppositions may not coincide with its true nature established with the aid of a more accurate technique.
Manko Vladimir S.
Ruiz Eduardo
No associations
LandOfFree
How can exact and approximate solutions of Einstein's field equations be compared? 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 How can exact and approximate solutions of Einstein's field equations be compared?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and How can exact and approximate solutions of Einstein's field equations be compared? will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-140939