Quadrupole moment of slowly rotating fluid balls

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 79, Issue 4, 2009, Pages

  Bradley, Michael ^a   Fodor, Gyula ^b  

^a UMEÅ UNIVERSITY   (Sweden)

^b WIGNER RESEARCH CENTRE FOR PHYSICS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 62349110375     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.79.044018     Document Type: Article

References (39)

1. G. Neugebauer and R. Meinel, Astrophys. J. 414, L97 (1993). ASJOAB 0004-637X 10.1086/187005
2. J.B. Hartle and K.S. Thorne, Astrophys. J. 153, 807 (1968). ASJOAB 0004-637X 10.1086/149707
3. S. Chandrasekhar and J.C. Miller, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 167, 63 (1974).
4. E. Berti, F. White, A. Maniopoulou, and M. Bruni, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 358, 923 (2005). 10.1111/j.1365-2966.2005.08812.x
5. W.G. Laarakkers and E. Poisson, Astrophys. J. 512, 282 (1999). ASJOAB 0004-637X 10.1086/306732
6. J.A. Cabezas, J. Martín, A. Molina, and E. Ruiz, Gen. Relativ. Gravit. GRGVA8 0001-7701 39, 707 (2007). 10.1007/s10714-007-0414-6
7. J. Martín, A. Molina, and E. Ruiz, Classical Quantum Gravity CQGRDG 0264-9381 25, 105019 (2008). 10.1088/0264-9381/25/10/105019
8. W.C. Hernandez, Jr., Phys. Rev. 159, 1070 (1967). PHRVAO 0031-899X 10.1103/PhysRev.159.1070
9. N. Stergioulas, Living Rev. Relativity 6, 3 (2003), http://www. livingreviews.org/lrr-2003-3. 1433-8351
10. J.B. Hartle, Astrophys. J. 150, 1005 (1967). ASJOAB 0004-637X 10.1086/149400
11. M. Bradley, D. Eriksson, G. Fodor, and I. Rácz, Phys. Rev. D PRVDAQ 1550-7998 75, 024013 (2007). 10.1103/PhysRevD.75.024013
12. G. Fodor, C.A. Hoenselaers, and Z. Perjés, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 30, 2252 (1989). 10.1063/1.528551
13. G. Darmois, in Mémorial de Sciences Mathématiques (Gauthier-Villars, Paris, 1927), Vol. 25, Chap..
14. W. Israel, Nuovo Cimento B NCIBAW 0369-3554 44, 1 (1966). 10.1007/BF02710419
15. M.A.H. MacCallum, M. Mars, and R. Vera, Phys. Rev. D PRVDAQ 1550-7998 75, 024017 (2007). 10.1103/PhysRevD.75.024017
16. G. Fodor, in Relativity Today. Proceedings of the Sixth Hungarian Relativity Workshop, edited by, A. Kiadó, (Hoenselaers & Perjés, Budapest, 2002);
17. G. Fodor arXiv:gr-qc/0612080.
18. M. Bradley, G. Fodor, M. Marklund, and Z. Perjés, Classical Quantum Gravity CQGRDG 0264-9381 17, 351 (2000). 10.1088/0264-9381/17/2/306
19. M. Bradley, G. Fodor, and Z. Perjés, Classical Quantum Gravity CQGRDG 0264-9381 17, 2635 (2000). 10.1088/0264-9381/17/14/303
20. M. Mars and J.M.M. Senovilla, Mod. Phys. Lett. A 13, 1509 (1998). MPLAEQ 0217-7323 10.1142/S0217732398001583
21. R. Geroch, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 11, 2580 (1970). 10.1063/1.1665427
22. R.O. Hansen, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 15, 46 (1974). 10.1063/1.1666501
23. K.S. Thorne, Rev. Mod. Phys. 52, 299 (1980). RMPHAT 0034-6861 10.1103/RevModPhys.52.299
24. W. Simon and R. Beig, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 24, 1163 (1983); 10.1063/1.525846
25. F.J. Ernst, in Solutions of Einstein's Equations, Techniques and Results, edited by, C. Hoenselaers, and, W. Dietz, (Springer, Heidelberg, 1984).
26. T. Bäckdahl and M. Herberthson, Classical Quantum Gravity CQGRDG 0264-9381 22, 3585 (2005). 10.1088/0264-9381/22/17/017
27. L.D. Landau and E.M. Lifshitz, The Classical Theory of Fields (Pergamon Press, Oxford, 1975) 4thed..
28. W. Roos, Gen. Relativ. Gravit. GRGVA8 0001-7701 7, 431 (1976).
29. G. Fodor, arXiv:gr-qc/0011040.
30. H.D. Wahlquist, Phys. Rev. 172, 1291 (1968). PHRVAO 0031-899X 10.1103/PhysRev.172.1291
31. J.M. Whittaker, Proc. R. Soc. A PRLAAZ 0080-4630 306, 1 (1968). 10.1098/rspa.1968.0133
32. P. Sarnobat and C.A. Hoenselaers, Classical Quantum Gravity CQGRDG 0264-9381 23, 5603 (2006). 10.1088/0264-9381/23/18/007
33. E. Mukumu, Master's thesis, Umeå University, 2008.
34. H.A. Buchdahl, Phys. Rev. 116, 1027 (1959). PHRVAO 0031-899X 10.1103/PhysRev.116.1027
35. H. Andréasson, J. Differ. Eqs. JDEQAK 0022-0396 245, 2243 (2008). 10.1016/j.jde.2008.05.010
36. U.S. Nilsson and C. Uggla Ann. Phys. (N.Y.) APNYA6 0003-4916 286, 292 (2000). 10.1006/aphy.2000.6090
37. J.M. Heinzle, N. Röhr, and C. Uggla, Classical Quantum Gravity CQGRDG 0264-9381 20, 4567 (2003). 10.1088/0264-9381/20/21/004
38. A. Lichnerowicz, Théories Relativistes de la Gravitation et de l'Electromagnetisme (Masson, Paris, 1955).
39. J.E. Cuchí, A. Molina, and E. Ruiz, in Proceedings of ERE, Salamanca, Spain, 2008, http://www.usal.es/~ere2008/website/modules/tinyd0/ content/pdf/Cuchi.pdf.