Caged black holes: Black holes in compactified spacetimes. II. 5D numerical implementation

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 69, Issue 6, 2004, Pages 23-

  Sorkin, Evgeny ^a   Kol, Barak ^a   Piran, Tsvi ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2342432467     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.69.064032     Document Type: Article

References (33)

1. R. Gregory and R. Laflamme, Phys. Rev. Lett. 70, 2837 (1993).
2. R. Gregory and R. Laflamme, Nucl. Phys. B428, 399 (1994).
3. G.T. Horowitz and K. Maeda, Phys. Rev. Lett. 87, 131301 (2001).
4. G.T. Horowitz, “Playing with black strings,” hep-th/0205069.
5. S.S. Gubser, Class. Quantum Grav. 19, 4825 (2002).
6. P.J. De Smet, Class. Quantum Grav. 19, 4877 (2002).
7. T. Harmark and N.A. Obers, J. High Energy Phys. 05, 032 (2002).
8. B. Kol, “Topology change in general relativity and the black-hole black-string transition,” hep-th/0206220.
9. T. Wiseman, Class. Quantum Grav. 20, 1137 (2003).
10. T. Wiseman, Class. Quantum Grav. 20, 1177 (2003).
11. B. Kol, “Speculative generalization of black hole uniqueness to higher dimensions,” hep-th/0208056.
12. B. Kol, “Explosive black hole fission and fusion in large extra dimensions,” hep-ph/0207037.
13. B. Kol and T. Wiseman, Class. Quantum Grav. 20, 3493 (2003).
14. E. Sorkin and T. Piran, Phys. Rev. Lett. 90, 171301 (2003).
15. M.W. Choptuik, L. Lehner, I. Olabarrieta, R. Petryk, F. Pretorius, and H. Villegas, Phys. Rev. D 68, 044001 (2003).
16. T. Harmark and N.A. Obers, “New phase diagram for black holes and strings on cylinders,” hep-th/0309116.
17. T. Harmark and N.A. Obers, “Phase structure of black holes and strings on cylinders,” hep-th/0309230.
18. R.C. Myers and M.J. Perry, Ann. Phys. (N.Y.) 172, 304 (1986).
19. R.C. Myers, Phys. Rev. D 35, 455 (1987).
20. T. Wiseman, Phys. Rev. D 65, 124007 (2002).
21. H. Kudoh, T. Tanaka, and T. Nakamura, Phys. Rev. D 68, 024035 (2003).
22. R. Emparan and R.C. Myers, J. High Energy Phys. 09, 025 (2003).
23. B. Kol, E. Sorkin, and T. Piran, preceding paper, Phys. Rev. D 69, 064031 (2004).
24. D. Gorbonos and B. Kol (unpublished).
25. H. Kudoh and T. Wiseman, “Properties of Kaluza-Klein black holes,” hep-th/0310104.
26. R.M. Wald, General relativity (The University of Chicago Press, Chicago, 1984).
27. S.W. Hawking and G.T. Horowitz, Class. Quantum Grav. 13, 1487 (1996).
28. P. Musgrave, D. Pollney, and K. Lake, GRTensorM Version 1.2 for Mathematica 3.x, copyright 1996–1998.
29. G.W. Gibbons, R. Kallosh, and B. Kol, Phys. Rev. Lett. 77, 4992 (1996).
30. W.F. Ames, Numerical Methods for Partial Differential Equations, 3rd ed. (Academic Press, Orlando, FL, 1992).
31. W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery, Numerical Recipes in FORTRAN: THE ART OF SCIENTIFIC COMPUTING, 2nd ed. (Cambridge University Press, Cambridge, England, 1992).
32. J. Traschen, “A positivity theorem for gravitational tension in brane spacetimes,” hep-th/0308173.
33. T. Shiromizu, D. Ida, and S. Tomizawa, Phys. Rev. D 69, 027503 (2004).