The generalized thin-sandwich problem and its local solvability

Journal of Mathematical Physics

Volumn 40, Issue 5, 1999, Pages 2470-2482

  Giulini, Domenico ^a  

^a UNIVERSITY OF ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033457683     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532877     Document Type: Article

References (10)

1. J. Isenberg, "Steering the universe," Found. Phys. 16, 651-665 (1986).
2. Y. Choquet-Bruhat and J. W. York, "The Cauchy Problem," in General Relativity and Gravitation, edited by A. Held (Plenum, New York, 1980), Vol. 1.
3. E. P. Belasco and H. C. Ohanian, "Initial conditions in general relativity: Lapse and shift formulation," J. Math. Phys. 10, 1503-1507 (1969).
4. D. Christodoulou and M. Francaviglia, "The geometry of the thin-sandwich problem," in Isolated Gravitating Systems in General Relativity, edited by J. Ehlers (North-Holland, New York, 1979).
5. R. Bartnik and G. Fodor, "On the restricted validity of the thin sandwich conjecture," Phys. Rev. D 48, 3596-3599 (1993).
6. J. A. Wheeler, "Geometrodynamics and the issue of the final state," in Relativity, Groups and Topology, edited by B. DeWitt and C. DeWitt (Gordon and Breach, New York, 1964).
7. R. F. Baierlein, D. H. Sharp, and J. A. Wheeler, "Three-dimensional geometry as carrier of information about time," Phys. Rev. 126, 1864-1865 (1962).
8. D. Giulini, "What is the geometry of superspace?" Phys. Rev. D 51, 5630-5635 (1995).
9. C. Kiefer, "Non-minimally coupled scalar fields and the initial value problem in quantum gravity," Phys. Lett. B 225, 227-232 (1989).
10. Z. L. Gao and S.-T. Yau, "The existence of Ricci negatively curved metrics on three manifolds," Invent. Math. 85, 637-652 (1986).