Lamé equation for the distance redshift in a partially filled beam Friedmann-Lemaître-Robertson-Walker cosmology

Physical Review D

Volumn 68, Issue 12, 2003, Pages

  Kantowski, R ^a  

^a UNIVERSITY OF OKLAHOMA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0842347659     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.68.123516     Document Type: Article

References (47)

1. I. Maor, R. Brustein, J. McMahon, and P.J. Steinhardt, Phys. Rev. D 65, 123003 (2002).
2. S. Perlmutter et al., Astrophys. J. 517, 565 (1999).
3. A.G. Riess et al., Astron. J. 116, 1009 (1998).
4. B.P. Schmidt et al., Astrophys. J. 507, 46 (1998).
5. W. Mattig, Astron. Nachr. 284, 109 (1958).
6. Ya.B. Zel'dovich, Astron. Zh. 41, 19 (1964)
7. [Sov. Astron. 8, 13 (1964)].
8. V.M. Dashevskii and Ya.B. Zel'dovich, Astron. Zh. 41, 1071 (1964)
9. [Sov. Astron. 8, 854 (1965)].
10. V.M. Dashevskii and V.I. Slysh, Astron. Zh. 42, 863 (1965)
11. [Sov. Astron. 9, 671 (1966)].
12. R. Kantowski, Astrophys. J. 155, 89 (1969).
13. R. Kantowski, Astrophys. J. 507, 483 (1998).
14. B. Bertotti, Proc. R. Soc. London A294, 195 (1966).
15. J.E. Gunn, Astrophys. J. 150, 737 (1967).
16. A. Einstein and E.G. Straus, Rev. Mod. Phys., 17, 120 (1945).
17. H. Bondi, Mon. Not. R. Astron. Soc. 107, 410B (1947).
18. A. Krasiński, Inhomogeneous Cosmological Models (Cambridge University Press, Cambridge, England, 1997).
19. R.K. Sachs, Proc. R. Soc. London A264, 309 (1961).
20. P. Jordan, J. Ehlers, and R.K. Sachs, Akad. Wiss. Lit. Mainz Abh. Math. Naturwiss. Kl. 1, 1 (1961).
21. C.C. Dyer and R.C. Roeder, Astrophys. J. 189, 167 (1974).
22. C.C. Dyer and R.C. Reeder, Astrophys. J., Lett. Ed. 174, L115 (1972).
23. E.V. Linder, Astron. Astrophys. 206, 190 (1988).
24. F. Giovi, F. Occhionero, and L. Amendola, Mon. Not. R. Astron. Soc. 325, 1097 (2001).
25. M. Sereno, G. Covone, E. Piedipalumbo, and R. de Ritis, Mon. Not. R. Astron. Soc. 327, 517 (2001).
26. M. Sereno, E. Piedipalumbo, and M.V. Sazhin, Mon. Not. R. Astron. Soc. 335, 1061 (2002).
27. Y. Wang, K. Freese, P. Gondolo, and M. Lewis, Astrophys. J. 599, 25 (2003).
28. K. Heun, Math. Ann. 33, 161 (1889).
29. A. Ronveaux, Heun's Differential Equations (Oxford University Press, Oxford, 1995).
30. A. Erdélyi, Higher Transcendental Functions (McGraw-Hill, New York, 1955), Vol. III.
31. R. Kantowski and R.C. Thomas, Astrophys. J. 561, 491 (2001).
32. M. Demianski, R. de Ritis, A.A. Marino, and E. Piedipalumbo, astro-ph/0004376.
33. F. M. Arscott, Periodic Differential Equations (Pergamon, Oxford, 1964).
34. E. T. Whittaker and G. N. Watson, A Course in Modern Analysis, 4th ed. (Cambridge University, London, 1927).
35. S.E. Kaufman and E.L. Schucking, Astrophys. J. 76, 583 (1971).
36. S.E. Kaufman, Astrophys. J. 76, 751 (1971).
37. R. Kantowski, J.K. Kao, and R.C. Thomas, Astrophys. J. 545, 549 (2000).
38. P.B. Greene, L. Kofman, A. Linde, and A.A. Starobinsky, phys. Rev. D 56, 6175 (1997).
39. R.R. Bourassa and R. Kantowski, Astrophys. J. 205, 674 (1976).
40. J.H. Cooke and R. Kantowski, Astrophys. J., Lett. Ed. 195, L11 (1975).
41. J. Wambsganssi R. Cen, and J.P. Ostriker, Astrophys. J. 494, 29 (1998).
42. P. Premadi, H. Martel, R. Matzner, and T. Futamase, Astro-phys. J., Suppl. Ser. 135, 7 (2001).
43. D.E. Holz and R.M. Wald, Phys. Rev. D 58, 063501 (1998).
44. L. Bergström, M. Goliath, A. Goobar, and E. Mörtsell, Astron. Astrophys. 385, 13 (2000).
45. Y. Wang, D.E. Holz, and D. Munshi, Astrophys. J. Lett. 572, L15 (2002).
46. E. Mörtsell, astro-ph/0109197.
47. K. Tomita, P. Premadi, and T.T. Nakamura, Prog. Theor. Phys. Suppl. 133, 85 (1999).