A note on the cylindrical collapse of counter-rotating dust

International Journal of Modern Physics D

Volumn 11, Issue 9, 2002, Pages 1469-1477

  Gonçalves, Sérgio M C V ^a,b   Jhingan, Sanjay ^c  

^a Yale University   (United States)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^c KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036815956     PISSN: 02182718     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218271802002128     Document Type: Article

References (20)

1. For a recent review, see, e.g., P.S. Joshi, Pramana 55, 529 (2000).
2. K.S. Thorne, Ph.D. Thesis, Princeton University, 1965; available from University Microfilms Inc., Ann Arbor, Michigan.
3. K.S. Thorne, in Magic Without Magic: John Archibald Wheeler, edited by J. Klauder (W. H. Freeman & Co., San Francisco, 1972).
4. S.L. Shapiro and S.A. Teukolsky, Phys. Rev. Lett. 66, 994 (1991); Phys. Rev. D45, 2006 (1992).
5. S.L. Shapiro and S.A. Teukolsky, Phys. Rev. Lett. 66, 994 (1991); Phys. Rev. D45, 2006 (1992).
6. T. Nakamura, M. Shibata and K. Nakao, Prog. Theor. Phys. 89, 821 (1993).
7. T. Apostolatos and K.S. Thorne, Phys. Rev. D46, 2435 (1992).
8. K.S. Thorne, Phys. Rev. B138, 251 (1965).
9. F. Echeverria, Phys. Rev. D47, 2271 (1993).
10. P.R.C.T. Pereira and A. Wang, Phys. Rev. D62, 124001 (2000).
11. It was not the purpose of their paper, whose main goal was to provide a general treatment for an arbitrary dynamic timelike cylindrical shell soldering two arbitrary cylindrical spacetimes.
12. W. Israel, Nuovo Cimento B44, 1 (1966); B48, 463 (1967).
13. W. Israel, Nuovo Cimento B44, 1 (1966); B48, 463 (1967).
14. The first two equations differ slightly from the corresponding ones in Ref. 9, which seem to contain an algebraic mistake; however, as we shall see below, the qualitative nature of the final solution remains unchanged.
15. M. Tenenbaum and H. Pollard, Ordinary Differential Equations (Dover, New York, 1985).
16. By construction, we excluded the existence of cylindrical waves in the interior of the shell. Without this assumption, it is well known that colliding null wavefronts can lead to trapped geons, even in flat space.
17. K.S. Thorne, private communication.
18. S.M.C.V. Gonçalves, Phys. Rev. D65, 084045 (2002).
19. K. Alvi, S.M.C.V. Gonçalves and S. Jhingan, in progress.
20. S.M.C.V. Gonçalves and V. Moncrief, in progress.