The dynamical instability of static, spherically symmetric solutions in nonsymmetric gravitational theories

General Relativity and Gravitation

Volumn 30, Issue 10, 1998, Pages 1501-1520

  Clayton, M A ^a   Demopoulos, L ^b   Legare J ^b  

^a CERN   (Switzerland)

^b UNIVERSITY OF TORONTO   (Canada)

Author keywords

Spherical symmetry; Unified field theory

Indexed keywords

EID: 0032219282     PISSN: 00017701     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1018865125354     Document Type: Article

References (32)

1. 1. Moffat, J. W. (1979). Phys. Rev. D19, 3554.
2. 2. Moffat, J. W. (1991). In Gravitation (Proc. Banff Summer Institute), R. B. Mann and P. Wesson, eds. (World Scientific, Singapore).
3. 3. Einstein, A., and Straus, E. G. (1946). Ann. Math. 47, 731.
4. 4. Wyman, M. (1950). Can. J. Math. 2, 427.
5. 5. Bonnor, W. B. (1951). Proc. Roy. Soc. Lond. 209, 353.
6. 6. Burko, L., and Ori, A. (1995). Phys. Rev. Lett. 75, 2455.
7. 7. Dobrowolski, T. and Koc, P. (1996). "On the collapse of shell in nonsymmetric gravity." Preprint, Jagellonian University, Department of Theoretical Physics, TPJU-4/96.
8. 8. Moffat, J. W. (1995). "Stellar equilibrium and gravitational collapse in the nonsymmetric gravitational theory." Preprint UTPT-95-18, astro-ph/9510024.
9. 9. Moffat, J. W., and Sokolov, I. Yu. (1995). "On gravitational collapse in the nonsymmetric gravitational theory." Preprint UTPT-95-21, astro-ph/9510068.
10. 10. Wyman, M. (1981). Phys. Rev. D24, 839.
11. 11. Jetzer, P., and Scialom, D. (1992). Phys. Lett. A169, 12.
12. 12. Clayton, M. A. (1996). J. Math. Phys. 37, 395.
13. 13. Légaré, J., and Moffat, J. W. (1995). Gen. Rel. Grav. 27, 761.
14. 14. Moffat, J. W. (1995). J. Math. Phys. 36, 3722.
15. 15. Moffat, J. W. (1995). Phys. Lett. B355, 447.
16. 16. Einstein, A. (1945). Ann. Math. 46, 578.
17. 17. Clayton, M. A. (1996). "Massive Nonsymmetric Gravitational Theory: A Hamiltonian approach." PhD thesis, Department of Physics, University of Toronto.
18. 18. Papapetrou, A. (1948). Proc. Roy. Soc. Irish Acad. Sci. A52, 69.
19. 19. Tonnelat, M. A. (1982). Einstein's Theory of Unified Fields (Gordon and Breach, New York).
20. 20. Pant, D. N. (1975). Nuovo Cimento B25, 175.
21. 21. Maurer-Tison, F. (1959). Ann. Scient. Éc. Norm. Sup. 76, 185.
22. 22. Damour, T., Deser, S., and McCarthy, J. (1992). Phys. Rev. D45, R3289.
23. 23. Damour, T., Deser, S., and McCarthy, J. (1993). Phys. Rev. D47, 1541.
24. 24. Clayton, M. A. (1996). Class. Quantum Grav. 13, 2851.
25. 25. Schmoltzi, K., and Schücker, Th. (1991). Phys. Lett. A161, 212.
26. 26. Choptuik, M. W., Hirschmann, E. W., and Liebling, S. L. (1997). Phys. Rev. D55, 6014.
27. 27. Heusler, M. (1996). Helv. Phys. Acta 69, 501.
28. 28. Stoer, J., and Bulirsch, R. (1993). Introduction to numerical analysis (Texts in Applied Mathematics 12, Springer, New York).
29. 29. Narnhofer, H. (1974). Acta Physica Austriaca 40, 306.
30. 30. Hara, T., Koike, T., and Adachi, S. (1996). "Renormalization group and critical behaviour in gravitational collapse." Preprint gr-qc/9607010.
31. 31. Tipler, F. J., Clarke, C. J. S., and Ellis, G. F. R. (1980). In General Relativity and Gravitation: One Hundred Years After the Birth of Einstein, A. Held, ed. (Plenum Press, New York), vol. 2, p. 97-206.
32. 32. Légaré, J., and Moffat, J. W. (1996). Gen. Rel. Grav. 28, 1221.