Classical signature change in the black hole topology

International Journal of Modern Physics D

Volumn 6, Issue 2, 1997, Pages 211-238

  Hellaby, Charles ^a   Sumeruk, Ariel ^a   Ellis, G F R ^a  

^a UNIVERSITY OF CAPE TOWN   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031534020     PISSN: 02182718     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218271897000133     Document Type: Article

References (49)

1. J. B. Hartle and S. W. Hawking, Phys. Rev. D28, 2960 (1983).
2. S. W. Hawking, Nucl. Phys. B239, 257 (1984).
3. J. J. Halliwell and J. B. Hartle, Phys. Rev. D41, 1815 (1990).
4. G. W. Gibbons and J. B. Hartle, Phys. Rev. D42, 2458 (1990).
5. A. D. Sakharov, Zh. Eksp. Teor. Fiz. 87, 375 (1984); Sov. Phys. JETP 60, 214 (1984).
6. A. D. Sakharov, Zh. Eksp. Teor. Fiz. 87, 375 (1984); Sov. Phys. JETP 60, 214 (1984).
7. S. W. Hawking, in Astrophysical Cosmology, eds. Brück Coyne and Longair (Pontifica Academia Scientarium, Vatican City, 1982).
8. T. Dray, C. A. Manogue and R. W. Tucker, Gen. Relativ. Grav. 23, 967 (1991).
9. G. F. R. Ellis, A. Sumeruk, D. Coule and C. Hellaby, Class. Quantum Grav. 9, 1535 (1992).
10. G. F. R. Ellis, Gen. Relativ. Grav. 24, 1047 (1992).
11. S. A. Hayward, Class. Quantum Grav. 9, 1851 (1992); erratum, ibid. 9, 2453 (1992).
12. M. Kossowski and M. Kriele, Class. Quantum Grav. 10, 1157 (1993).
13. M. Kossowski and M. Kriele, Class. Quantum Grav. 10, 2363 (1993).
14. T. Dray, C. A. Manogue and R. W. Tucker, Phys. Rev. D48, 2587 (1993).
15. S. A. Hayward, Class. Quantum Grav. 10, L7 (1993).
16. T. Dray, C. A. Manogue and R. W. Tucker, Phys. Rev. D48, 2587 (1993).
17. T. Dray, C. A. Manogue and R. W. Tucker, Class. Quantum Grav. 12, 2767 (1995).
18. G. F. R. Ellis and K. Piotrkowska, Int. J. Mod. Phys. D3, 49 (1994).
19. M. Carfora and G. F. R. Ellis, Int. J. Mod. Phys. D4, 174 (1995).
20. C. Hellaby and T. Dray, Phys. Rev. D49, 5096 (1994).
21. T. Dray and C. Hellaby, J. Math. Phys. 35, 5922 (1994).
22. F. Embacher, Phys. Rev. D51, 6764 (1995).
23. S. A. Hayward, Phys. Rev. D52, 7331 (1995).
24. C. Hellaby and T. Dray, Phys. Rev. D52, 7333 (1995).
25. F. Embacher, Class. Quantum Grav. 13, 921 (1996).
26. T. Dray and C. Hellaby, Gen. Relativ. Grav. 28, 1401 (1996).
27. M. Kriele, Gen. Relativ. Grav. 28, 1409 (1996).
28. T. Dray, J. Math. Phys. 37, 5627 (1996).
29. T. Dray, G. F. R. Ellis, C. Hellaby and C. A. Manogue, Gen. Relativ. Grav. to appear "Gravity and Signature Change."
30. T. Dray, "Tensor distributions in the presence of degenerate metrics," submitted to Int. J. Mod. Phys. D.
31. D. Hartley, R. W. Tucker P. Tuckey and T. Dray, "Tensor distributions on signature-changing spacetimes," submitted to J. Math. Phys.
32. L. Smolin, Class. Quantum Grav. 9, 173 (1992).
33. G. Darmois, Mémorial de Sciences Mathématiques, Fasc XXV, Les Equations de la Gravitation Einsteinienne, (Gauthier-Villars, Paris, 1927) Chap. V.
34. W. B. Bonnor and P. A. Vickers, Gen. Relativ. Grav. 13, 29 (1981).
35. A. Lichnerowicz, Théories Relativistes de la Gravitation et de l'Électromagnétisme, (Masson, Paris, 1955), Chap III.
36. S. O'Brien and J. L. Synge, Jump Conditions at Discontinuities in General Relativity, Communications of the Dublin Inst. Advanced Studies, series A, No. 9 (1952).
37. W. Israel, Nuovo Cimento, B44, 1 (1966) and corrections in ibid., B48, 463 (1966).
38. K. Schwarzschild, Sitzber Deut. Akad. Wiss. Berlin, Kl. Math.-Phys. Tech., 189-196 (1916).
39. Many results shown in this paper were calculated or checked using "GRTensorII" by P. Musgrave, D. Pollney and K. Lake, Queen's University, Kingston, Ontario, Canada, (1994); E-mail: grtensor@astro.queensu.ca), running under Maple V release 3.
40. H. Nagai, Prog. Theor. Phys. 82, 322 (1989).
41. G. Lemaître, Ann. Soc. Sci. Bruxelles A53, 51 (1933).
42. R. C. Tolman, Proc. Nat. Acad. Sci. 20, 169 (1934).
43. C. Hellaby, Class. Quantum Grav. 4, 635 (1987).
44. C. Hellaby and K. Lake, Astrophys. J. 290, 381 (1985); and corrections in ibid. 300, 461 (1986).
45. I. D. Novikov, Doctoral thesis (Sternberg State Astronomical Institute, Moscow, 1963).
46. R. Kantowski and R. K. Sachs, J. Math. Phys. 7, 443 (1966).
47. C. Hellaby, J. Math. Phys. 37, 2892, (1996).
48. R. Kerner and J. Martin, Class. Quantum Grav. 10, 2111 (1993).
49. J. Martin, Phys. Rev. D49, 5086 (1994).