Shear-free relativistic fluids and the absence of movable branch points

Journal of Mathematical Physics

Volumn 43, Issue 4, 2002, Pages 1966-1979

  Halburd, R G ^a  

^a LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035981845     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1455688     Document Type: Article

References (21)

1. Y.P. Shah and P.C. Vaidya, Tensor N.S. 19, 191 (1968).
2. M.C. Faulkes, Can. J. Phys. 47, 1989 (1969).
3. A. Krasiński. Inhomogeneous Cosmological Models (Cambridge University Press, Cambridge, 1997).
4. S. Kowalevski, Acta Math. 12, 177 (1889).
5. S. Kowalevski, Acta Math. 14, 81 (1889).
6. E.L. Ince, Ordinary Differential Equations (Dover, New York, 1956).
7. M.J. Ablowitz and P.A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering, London Mathematical Society Lecture Note Series (Cambridge University Press, Cambridge, 1991). Vol. 149.
8. H. Flaschka and A.C. Newell, Commun. Math. Phys. 76, 65 (1980).
9. M. Wyman, Canad. Math. Bull. 19, 343 (1976).
10. M. Wyman, Aust. J. Phys. 31, 111 (1978).
11. S. Chatterjee, Gen. Relativ. Gravit. 16, 381 (1984).
12. S.D. Maharaj, P.G.L. Leach, and R. Maartens, Gen. Relativ. Gravit. 28, 35 (1996).
13. D.C. Srivastava, Fortschr. Phys. 40, 31 (1992).
14. R. Halburd, Class. Quantum Grav. 18, 11 (2001).
15. R. Sussman, J. Math. Phys. 28, 1118 (1987).
16. Y.P. Shah and P.C. Vaidya, Ann. Inst. Henri Poincare, Sect. A 6, 219 (1967).
17. L. Fuchs, Sitz. Akad. Wiss. Berlin 32, 669 (1884).
18. Y.M. Chiang and R.G. Halburd, "On the meromorphic solutions to an equation of Hayman," Dept. Math. Sciences, preprint no. 02/08, Loughborough University (2002).
19. G. Jank and L. Volmann, Einführung in die Theorie der ganzen und meromophen Funktionen mit Anwendungen auf Differentialgleichungen (Birkháuser, Basel, 1985).
20. E. Hille, Ordinary Differential Equations in the Complex Domain (Wiley, New York, 1976).
21. B. Gambier, Acta Math. 33, 1 (1909).