Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1994-10-04
Phys.Rev.D50:7116-7118,1994
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
REVTEX, 9 pages, ESI Preprint 126
Scientific paper
10.1103/PhysRevD.50.R7116
A new class of time-symmetric solutions to the initial value constraints of vacuum General Relativity is introduced. These data are globally regular, asymptotically flat (with possibly several asymptotic ends) and in general have no isometries, but a $U(1)\times U(1)$ group of conformal isometries. After decomposing the Lichnerowicz conformal factor in a double Fourier series on the group orbits, the solutions are given in terms of a countable family of uncoupled ODEs on the orbit space.
Beig Robert
Husa Sascha
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