Mining metrics for buried treasure

General Relativity and Gravitation

Volumn 38, Issue 6, 2006, Pages 1069-1082

  Konkowski, D A ^a   Helliwell, T M ^b  

^a UNITED STATES NAVAL ACADEMY   (United States)

^b HARVEY MUDD COLLEGE   (United States)

Author keywords

Exact solution; Singularity

Indexed keywords

EID: 33744774963     PISSN: 00017701     EISSN: 15729532     Source Type: Journal    
DOI: 10.1007/s10714-006-0289-y     Document Type: Conference Paper

References (41)

1. Stephani, H., Kramer, D., MacCallum, M., Hoenselaers, C., Herlt, E.: Exact Solutions of Einstein's Field Equations, vol. 2. Cambridge: Cambridge University Press (2003)
2. MacCallum, M.A.H., Skea, J.E.F.: SHEEP: a computer algebra system for general relativity. In: Reboucas, M.J., Roque, W.L. (eds.), Algebraic Computing in General Relativity. Proceedings of the first Brazilian School on Computer Algebra vol. 2. Oxford, Oxford University Press p. 1 (1994)
3. MacCallum, M.A.H.: Gen. Relativ. Grav. 30, 131 (1998)
4. Mars, M., Senovilla, J.M.M.: Class. Quant. Grav. 10, 1633 (1993)
5. Carot, J., Senovilla, J.M.M., Vera, R.: Class. Quant. Grav. 16, 3025 (1999)
6. Gal'tsov, D.V., Letelier, P.S.: Phys. Rev. D 47, 4273 (1993)
7. Tod, K.P.: Class. Quantum Grav. 11, 1331 (1994)
8. Konkowski, D.A., Helliwell, T.M.: Gen. Relativ. Grav. 33, 1131 (2001)
9. Helliwell, T.M., Konkowski, D.A., Arndt, V.: Gen. Relativ. Grav. 35, 79 (2003)
10. Konkowski, D.A., Helliwell, T.M., Wieland, C.: Class. Quant. Grav. 21, 265 (2004)
11. Konkowski, D.A., Reese, C., Helliwell, T.M., Wieland, C.: Classical and Quantum Singularities of Levi-Civita Spacetimes with and without a Cosmological Constant. To appear in Proceedings of the Workshop on the Dynamics and Thermodynamics of Black Holes and Naked Singularities (2004) [gr-qc/0410114]
12. Ford, L.H., Vilenkin, A.: J. Phys. A: Math. Gen. 14, 2353 (1981)
13. Gott, J.R.: Astrophys. J. 288, 422 (1985)
14. Hiscock, W.A.: Phys. Rev. D 31, 3288 (1985)
15. Linet, B.: Gen. Relativ. Grav. 17, 1109 (1985)
16. Clement, G.: Gen. Relativ. Grav. 16, 477 (1984)
17. Deser, S., Jackiw, R., t'Hooft, G.: Ann. Phys., N.Y. 152, 220 (1984)
18. Brown, J.D.: Lower Dimensional Gravity Singapore, World Scientific (1988)
19. Clement, G.: Int. J. Theo. Phys. 24, 267 (1985)
20. Berger, B.K., Chrusciel, P.T., Moncrief, V.: Ann. Phys., N. Y. 237, 322 (1995)
21. Puntigam, R.A., Soleng, H.H.: Class. Quant. Grav. 14, 1129 (1997)
22. Garfinkle, D.: Class. Quant. Grav. 16, 4101 (1999)
23. Ellis, G.F.R., Schmidt, B.C.: Gen. Relativ. Grav 8, 915 (1977)
24. Tipler, F., Clarke, C.J.S., Ellis, G.: Singularities and horizons - a review article. In: Held, A. (ed.), General Relativity and Gravitation. New York, Plenum Press (1980)
25. Hawking, S.W. Ellis, G.F.R.: The Large-Scale Structure of Spacetime. Cambridge, Cambrdge University Press (1973)
26. Wald, R.M.: J. Math Phys. 21, 2802 (1980)
27. Horowitz, G.T., Marolf, D.: Phys. Rev. D 52, 5670 (1995)
28. Reed, M., Simon, B.: Functional Analysis. New York, Academic Press;
29. Reed, M., Simon, B. 1972 Fourier Analysis and Self-Adjointness. New York, Academic Press (1972)
30. Richmyer, R.-D.: Principles of Advanced Mathematical Physics, vol. I. New York, Springer (1978)
31. Kay, B.S., Studer, U.M.: Commun. Math. Phys. 139, 103 (1991)
32. von Neumann, J.: Math. Ann. 102, 49 (1929)
33. Weyl, H.: Math. Ann. 68, 220 (1910)
34. Levi-Civita, T.: Rend. Ace. Lincei 28, 101 (1919)
35. Bonnor, W.B.: The static cylinder in general relativity. In: Harvey, A. (ed.), On Einstein's Path New York, Springer p. 113 (1999)
36. Herrera, L., Ruifernández, J., Santos, N.O.: Gen. Relativ. Grav. 33, 515 (2001)
37. Herrera, L., Santos, N.O., Teixeira, A.F.F., Wang, A.Z.: Class. Quantum Grav. 18, 3847 (2001)
38. Chitre, D.M., Guven, R., Nutku, Y: J. Math. Phys. 16, 475 (1975)
39. Melvin, M.A.: Phys. Lett. 8, 65 (1964)
40. Raychaudhuri, A.K.: Ann. Phys. 11, 501 (1960)
41. Carroll, L.: Through the Looking Glass and What Alice Found There New York, Morrow (1933)