Initial data for general relativity with toroidal conformal symmetry
- 15 December 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 50 (12) , R7116-R7118
- https://doi.org/10.1103/physrevd.50.r7116
Abstract
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)×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 ODE’s on the orbit space.Keywords
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