Phys. Rev. Lett. 59, 2389–2392 (1987)Parametrization of the Space of Solutions of Einstein's EquationsReceived 22 June 1987; published in the issue dated 23 November 1987 An explicit parametrization is obtained of the set of all space-time solutions of Einstein's equations which are globally hyperbolic and contain a compact spatial hypersurface with constant mean curvature. This parametrization is based upon the conformal treatment of the initial-value problem for Einstein's equations, which is studied by the method of sub and super solutions for quasilinear elliptic partial differential equations. The Yamabe-Aubin-Trudinger-Schoen classification of conformal classes of Riemannian metrics plays a key role. © 1987 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.59.2389
DOI:
10.1103/PhysRevLett.59.2389
PACS:
04.20.Jb, 02.40.+m
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.