Kodama time: Geometrically preferred foliations of spherically symmetric spacetimes

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 82, Issue 4, 2010, Pages

  Abreu, Gabriel ^a   Visser, Matt ^a  

^a VICTORIA UNIVERSITY OF WELLINGTON   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77956904055     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.82.044027     Document Type: Article

References (37)

1. H. Kodama, Prog. Theor. Phys. 63, 1217 (1980). PTPKAV 0033-068X 10.1143/PTP.63.1217
2. H. Lamb, Hydrodynamics (Dover, New York, 1945), 6th ed.; see especially Sec. 167 on p. 248.
3. S. Deser, R. Jackiw, and A.P. Polychronakos, Phys. Lett. A 279, 151 (2001). PYLAAG 0375-9601 10.1016/S0375-9601(00)00851-3
4. S.E. Perez Bergliaffa, K. Hibberd, M. Stone, and M. Visser, Physica (Amsterdam) 191D, 121 (2004). PDNPDT 0167-2789 10.1016/j.physd.2003.11.007
5. S.A. Hayward, Phys. Rev. D PRVDAQ 0556-2821 49, 6467 (1994); 10.1103/PhysRevD.49.6467
6. S.A. Hayward Phys. Rev. D PRVDAQ 0556-2821 53, 1938 (1996); 10.1103/PhysRevD.53.1938
7. S.A. Hayward Classical Quantum Gravity CQGRDG 0264-9381 15, 3147 (1998); 10.1088/0264-9381/15/10/017
8. S.A. Hayward Phys. Rev. D PRVDAQ 0556-2821 49, 831 (1994). 10.1103/PhysRevD.49.831
9. A.B. Nielsen and J.H. Yoon, Classical Quantum Gravity CQGRDG 0264-9381 25, 085010 (2008); 10.1088/0264-9381/25/8/085010
10. A.B. Nielsen and D.H. Yeom, Int. J. Mod. Phys. A 24, 5261 (2009); IMPAEF 0217-751X 10.1142/S0217751X09045984
11. A.B. Nielsen, J. Korean Phys. Soc. 54, 2576 (2009); KPSJAS 0374-4884 10.3938/jkps.54.2576
12. A.B. Nielsen Gen. Relativ. Gravit. GRGVA8 0001-7701 41, 1539 (2009); 10.1007/s10714-008-0739-9
13. A.B. Nielsen arXiv:0711.0313;
14. A.B. Nielsen Int. J. Mod. Phys. D IMPDEO 0218-2718 17, 2359 (2008). 10.1142/S0218271808014205
15. A.B. Nielsen and M. Visser, Classical Quantum Gravity CQGRDG 0264-9381 23, 4637 (2006). 10.1088/0264-9381/23/14/006
16. M. Visser, Phys. Rev. D PRVDAQ 0556-2821 46, 2445 (1992). 10.1103/PhysRevD.46.2445
17. H. Maeda and M. Nozawa, Phys. Rev. D PRVDAQ 1550-7998 77, 064031 (2008). 10.1103/PhysRevD.77.064031
18. H. Maeda, Phys. Rev. D PRVDAQ 1550-7998 81, 124007 (2010). 10.1103/PhysRevD.81.124007
19. B. O'Neill, Semi-Riemannian Geometry (with Applications to Relativity) (Academic, New York, 1983), p. 210.
20. J. Carot and J. da Costa, Classical Quantum Gravity CQGRDG 0264-9381 10, 461 (1993). 10.1088/0264-9381/10/3/007
21. Y. Agaoka, I.-B. Kim, B.H. Kim, and D.J. Yeom, On Doubly Warped Product Manifolds, http://ir.lib.hiroshima-u.ac.jp/metadb/up/niikiyo/KJ00000197381.pdf.
22. Z. Sentürk, Proceedings of the Conference on Differential Geometry and Its Applications, Prague, 2004 (Charles University, Prague, Czech Republic 2005), p. 109.
23. W.C. Hernandez and C.W. Misner, Astrophys. J. 143, 452 (1966); see especially Eq. (13). ASJOAB 0004-637X 10.1086/148525
24. C.W. Misner and D.H. Sharp, Phys. Rev. 136, B571 (1964). PHRVAO 0031-899X 10.1103/PhysRev.136.B571
25. Black Holes: The Membrane Paradigm, edited by, K.S. Thorne,,, R.H. Price,, and, D.A. MacDonald, (Yale University, New Haven, CT, 1986).
26. I. Racz, Classical Quantum Gravity CQGRDG 0264-9381 23, 115 (2006). 10.1088/0264-9381/23/1/006
27. P. Csizmadia and I. Racz, Classical Quantum Gravity CQGRDG 0264-9381 27, 015001 (2010). 10.1088/0264-9381/27/1/015001
28. S.M. Carroll, An Introduction to General Relativity Spacetime and Geometry (Addison Wesley, Reading, MA, 2004).
29. R.M. Wald, General Relativity (University of Chicago, Chicago, 1984).
30. J.D. Brown and J.W. York, Phys. Rev. D PRVDAQ 0556-2821 47, 1407 (1993). 10.1103/PhysRevD.47.1407
31. M. Visser, Lorentzian Wormholes: From Einstein to Hawking (AIP Press, Woodbury, 1995).
32. A. Ashtekar and G.J. Galloway, Adv. Theor. Math. Phys. 9, 1 (2005); 1095-0761
33. A. Ashtekar and B. Krishnan, Living Rev. Relativity 1433-8351 7, 10 (2004), http://relativity.livingreviews.org/Articles/lrr-2004-10;
34. A. Ashtekar, J. Engle, T. Pawlowski, and C. Van Den Broeck, Classical Quantum Gravity CQGRDG 0264-9381 21, 2549 (2004). 10.1088/0264-9381/21/11/003
35. M. Visser, Int. J. Mod. Phys. D 12, 649 (2003). IMPDEO 0218-2718 10.1142/S0218271803003190
36. C. Barceló, S. Liberati, S. Sonego, and M. Visser, Phys. Rev. Lett. 97, 171301 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.171301
37. C. Barceló, S. Liberati, S. Sonego, and M. Visser, Classical Quantum Gravity CQGRDG 0264-9381 23, 5341 (2006). 10.1088/0264-9381/23/17/014