Testing the Λ cold dark matter model (and more) with the time evolution of the redshift

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 76, Issue 6, 2007, Pages

  Lake, Kayll ^a  

^a QUEEN S UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34748888464     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.76.063508     Document Type: Article

References (28)

1. G.C. McVittie, Astrophys. J. 136, 334 (1962). ASJOAB 0004-637X
2. A. Sandage, Astrophys. J. 136, 319 (1962). ASJOAB 0004-637X 10.1086/147385
3. M.M. Davis and L.S. May, Astrophys. J. 219, 1 (1978). ASJOAB 0004-637X 10.1086/155748
4. S. Phillipps, Astrophys. Lett. 22, 123 (1982). ASTLAI 0004-6388
5. K. Lake, Astrophys. Lett. 22, 23 (1982). ASTLAI 0004-6388
6. A. Loeb, Astrophys. J. 499, L111 (1998). ASJOAB 0004-637X 10.1086/311375
7. P-S. Corasaniti, D. Huterer, and A. Melchiorri, Phys. Rev. D PRVDAQ 0556-2821 75, 062001 (2007). 10.1103/PhysRevD.75.062001
8. See also the CLAR proposal at http://www.clar.ca/.
9. See L. Pasquini, The Messenger 122, 10 (2005);
10. L. Pasquini Proceedings IAU Symposium, edited by, P. Whitelock,,, M. Dennefeld,, and, B. Leibundgut, (Cambridge University Press, Cambridge, 2005), Vol. 232, p. 193.
11. See, for example, S. Penton, J. Stocke, and J. Shull, Astrophys. J. Suppl. Ser. 152, 29 (2004). APJSA2 0067-0049 10.1086/382877
12. K. Lake, Astrophys. J. 247, 17 (1981). ASJOAB 0004-637X 10.1086/159004
13. See, for example, T. Chiba and T. Nakamura, Prog. Theor. Phys. 100, 1077 (1998); PTPKAV 0033-068X 10.1143/PTP.100.1077
14. V. Sahni, T.D. Saini, A.A. Starobinsky, and U. Alam, JETP Lett. 77, 201 (2003); JTPLA2 0021-3640 10.1134/1.1574831
15. M. Visser, Classical Quantum Gravity CQGRDG 0264-9381 21, 2603 (2004); 10.1088/0264-9381/21/11/006
16. M. Visser Gen. Relativ. Gravit. GRGVA8 0001-7701 37, 1541 (2005). 10.1007/s10714-005-0134-8
17. C. Cattoën and M. Visser, arXiv:gr-qc/0703122.
18. S. Weinberg, Astrophys. J. 161, L233 (1970). ASJOAB 0004-637X 10.1086/180608
19. A useful list of formulas and references for H(z)/Ho in a variety of nonstandard models can be found in T.M. Davis, arXiv:astro-ph/0701510. Note that they set ao=1 so that to convert their notation to that used here simply write 1/a=1+z.
20. A. Balbi and C. Quercellini, arXiv:0704.2350. Their notation is the same as.
21. We follow the notation of K. Lake, Phys. Rev. D 74, 123505 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.74.123505
22. Lovelock [D. Lovelock, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 13, 874 (1972)], 10.1063/1.1666069
23. following earlier work by Vermeil and Weyl [regarding which see the interesting history given by A. Harvey and E. Schucking, Am. J. Phys. AJPIAS 0002-9505 68, 723 (2000)], showed that in four dimensions the only two-tensor derivable from the metric tensor and its first two partial derivatives which has zero covariant divergence (and hence derives conservation laws) is Gαβ+λgαβ, where Gαβ is the Einstein tensor, gαβ the metric tensor, and λ a constant, a fundamental constant of nature. This does not mean that λ=Λ (the observed cosmological constant). Indeed, the cosmological constant problem may be viewed as the explanation for the difference between λ and Λ should there be any. 10.1119/1.19534
24. See G. Dvali, G. Gabadadze, and M. Porrati, Phys. Lett. B 485, 208 (2000); PYLBAJ 0370-2693 10.1016/S0370-2693(00)00669-9
25. G. Dvali and G. Gabadadze, Phys. Rev. D 63, 065007 (2001). PRVDAQ 0556-2821 10.1103/PhysRevD.63.065007
26. C. Deffayet, G. Dvali, and G. Gabadadze, Phys. Rev. D PRVDAQ 0556-2821 65, 044023 (2002). 10.1103/PhysRevD.65.044023
27. R. Maartens and E. Majerotto, Phys. Rev. D 74, 023004 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.74.023004
28. E. Majerotto, D. Sapone, and L. Amendola, arXiv:astro-ph/0410543v2