參考文獻 |
1. Nester J M. A gauge condition for orthonormal three-frames J. Math. Phys. 30:624, 1989.
2. Nester J M. Special orthonormal frames and energy localization Class. Quant. Grav. 8:L19, 1991.
3. J. H. Taylor and J. M. Weisberg. A new test of general relativity: Gravitational radiation and the binary
pulsar PSR 1913+16. Astrophysical Journal 253:908920, 1982.
4. S.Hahn and R. Lindquist. The two-body problem in geometrodynamics. Ann. Phys. 29:304, 1964.
5. M. May and R. White. Hydrodynamic caculations of general relativistic collapse. Physical Review, 141:1232, 1966.
6. N. O'Murchadha and J. W. York Jr. The initial value problem of general relativity: I. Phys. Rev. D , 10:428, 1974.
7. J. W. York Jr. In L. Smarr, editor, Sources of Gravitational Radiation. Cambridge University Press, Cambridge, England, 1979.
8. J. W. York Jr. The initial value problem and dynamics. In N. Deruelle and T. Piran, editors, Gravitational Radiation, page 175. North-Holland, Amsterdam, 1983.
9. L. Smarr and J. W. York Jr. Radiation gauge in general relativity. Phys. Rev. D, 17: 1945, 1978.
10. L. Smarr and J. W. York Jr. Kinematical conditions in the construction of spacetime. Phys. Rev. D, 17:2529, 1978.
11. L. Smarr. PhD thesis, The University of Texas at Austin, 1975.
12. K. Eppley. Evolution of time-symmetric gravitational waves: initial data and apparent horizons. Phys. Rev. D, 16:1609, 1977.
13. K. Eppley. In L. Smarr, editor, Sources of Gravitational Radiation. Cambridge University Press, Cambridge, England, 1979.
14. R. Arnowitt, S. Deser, and C. W. Misner. In L. Witten, editor, Gravitation: An Introduction to Current Research. John Wiley, New York, 1962.
15. D. Bernstein. PhD thesis, University of Illinois Urbana-Champaign, 1993.
16. York, J. Initial data for collisions of black holes and other gravitational miscellany. In Evans, C., Finn, L., Hobill.
D. (eds.): Frontiers in Numerical Relativity, pp. 89-109. Cambridge University Press, Cambridge, 1989.
17. Brill, D.S., On the Positive Definite Mass of the Bondi-Weber-Wheeler Time-Symmetric Gravitational Waves. Ann. Phys. I 466, 1959.
18. K. Camarda, PhD thesis University of Illinois Urbana-Champaign, 1998.
19. J. M. Nester. Special orthonormal frames. J. Math. Phys. 33:3, 1992.
20. Hobill, D. W. and L.L. Smarr, Supercomputing and Numerical Relativity: A Look at the Past, Present, and Future : in Frontiers in Numerical Relativity, Cambridge University Press, Cambridge, 1989.
21. N. O' Murchada and J. York. Gravitational energy. Physical Review D, 10(8):2345-2357, 1974.
22. http://www-fp.mcs.anl.gov/petsc/ .
23. S. R. Brandt, E. Seidel. The Evolution of Distorted Rotating Black Holes III: Initial Data. gr-qc/9601010.
24. Wheeler, J. A., "Geometrodynamics and the issue of the final state" , in Relativity, Groups, and Topology, Gordon and Breach, New York, 1964.
25. Wheeler, J.A., Mach's principle as boundary condition for Einstein's equations, in Gravitation and Relativity, W.A. Benjamin, New York, 1964.
26. D. Bernstein, D. Hobill, E. Seidel. Initial data for the black hole plus Brill wave spacetime. Physical Review D, 50:3760, 1994.
27. A. Dimakis and F. Muller-Hoissen, Phys. Lett. A 142:73, 1977.
28. C. M. Chen, J. M. Nester. Quasilocal quantities for general relativity and other gravity theories. Clas. Quantum Grav. 16:1279, 1999.
29. Katz J, Bicak J and Lynden-Bell D Phys. Rev. D 55:5957, 1997.
30. Brown J D and York J W Jr Phys. Rev D 47:1407, 1993. |