Research PapersNo Access

CONFORMAL COSMOLOGICAL MODEL PARAMETERS WITH DISTANT SNe Ia DATA: "GOLD" AND "SILVER"

National Astronomical Observatories of Chinese Academy of Sciences, 20A Datun Road, Chaoyang District, Beijing, 100012, P. R. China

Institute of Theoretical and Experimental Physics, B. Cheremushkinskaya, 25, 117259, Moscow, Russia

Bogoliubov Laboratory for Theoretical Physics, JINR, 141980 Dubna, Russia

Search for more papers by this author

and

VICTOR N. PERVUSHIN

Bogoliubov Laboratory for Theoretical Physics, JINR, 141980 Dubna, Russia

Search for more papers by this author

https://doi.org/10.1142/S0218271810018013Cited by:17 (Source: Crossref)

Abstract

We assume that Type Ia supernovae (SNe Ia) are standard candles which one could use to test cosmological theories. The Hubble Space Telescope team analyzed 186 SNe Ia¹ to test the standard cosmological model (SC) associated with expanded lengths in the universe and evaluate its parameters. We use the same sample to determine parameters of the conformal cosmological model (CC) with relative reference units of intervals, so that conformal quantities of general relativity are interpreted as observables. We concluded, that the test is extremely useful and allows the evaluation of the parameters of the model. From a formal statistical point of view the best-fit of the CC model is almost the same quality approximation as the best-fit of the SC model with Ω_Λ = 0.72, Ω_m = 0.28. As it was noted earlier, for CC models, a rigid matter component could substitute the Λ-term (or quintessence) existing in the SC model. We note that a free massless scalar field can generate such a rigid matter. We describe the results of our analysis for more recent "gold" data (for 192 SNe Ia).

Keywords:

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

A. D. Riesset al., Astrophys. J. 607, 665 (2004), DOI: 10.1086/383612. Web of Science, ADS, Google Scholar
C. Will, Living Rev. Relativ. 9, 3 (2006). Web of Science, ADS, Google Scholar
S. Bludman , arXiv:astro-ph/0605198 . Google Scholar
E. J. Copeland, M. Sami and S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006), DOI: 10.1142/S021827180600942X. Link, Web of Science, ADS, Google Scholar
N. Straumann, Mod. Phys. Lett. A 21, 1083 (2006), DOI: 10.1142/S0217732306020573. Link, Web of Science, Google Scholar
A. F. Zakharovet al., Phys. Rev. D 74, 107101 (2006), DOI: 10.1103/PhysRevD.74.107101. Web of Science, Google Scholar
X. Jin, D. Liu and X. Li , arXiv:astro-ph/0610854 . Google Scholar
N. Panagia , arXiv:astro-ph/0502247 . Google Scholar
D. Behnkeet al., Phys. Lett. B 530, 20 (2002). Web of Science, ADS, Google Scholar
D. Behnke, Conformal cosmology approach to the problem of dark matter, PhD thesis, Rostock Report MPG-VT-UR 248/04 (2004) . Google Scholar
D. B. Blaschkeet al., Phys. Atom. Nucl. 67, 1050 (2004), DOI: 10.1134/1.1755396. Web of Science, Google Scholar
B. M. Barbashovet al., Int. J. Mod. Phys. A 12, 5957 (2006). Google Scholar
B. M. Barbashovet al., Int. J. Geom. Meth. Mod. Phys. 4, 171 (2007), DOI: 10.1142/S0219887807001916. Link, Web of Science, Google Scholar
B. M. Barbashovet al., Phys. Atom. Nucl. 70, 191 (2007), DOI: 10.1134/S1063778807010243. Web of Science, ADS, Google Scholar
A. F. Zakharov, V. N. Pervushin and V. A. Zinchuk, Phys. Part. Nuclei 37, 104 (2006), DOI: 10.1134/S1063779606010035. Web of Science, ADS, Google Scholar
B. M. Barbashovet al., Phys. Lett. B 633, 438 (2006). Google Scholar
V. N. Pervushin, A. F. Zakharov and V. A. Zinchuk, Cosmic evolution as "superfluid" motion in general relativity, in Proc. the INTAS Summer School and International Conference "New Trends in High-Energy Physics (Experiment, Phenomenology, Theory)", Yalta, Crimea, Ukraine, 2005, Bogoliubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Joint Institute for Nuclear Research (Dubna), p. 271 . Google Scholar
B. M. Barbashovet al., Hamiltonian general relativity in finite space and cosmological potential perturbations, Proc. "Nuclear Science and Safety in Europe", eds. T. Cechaket al. (Springer, 2006) p. 125, DOI: 10.1007/978-1-4020-4965-1_10. Google Scholar
V. N. Pervushin, A. F. Zakharov and V. A. Zinchuk, Cosmic evolution as "superfluid" motion in general relativity, Proc. "Nuclear Science and Safety in Europe", eds. T. Cechaket al. (Springer, 2006) p. 201, DOI: 10.1007/978-1-4020-4965-1_17. Google Scholar
B. M. Barbashovet al., Einstein–Hilbert formulations of GR and modern cosmology, Proc. of the 8th International Workshop Relativistic Nuclear Physics: From Hundreds MeV to TeV (2006) p. 11. Google Scholar
B. M. Barbashovet al., Quantum gravity as theory of "superfluidity", Proc. of the XXVIII Spanish Relativity Meeting E.R.E. "A Century of Relativity Physics"841 (American Institute of Physics, 2006) p. 362. Google Scholar
A. Lichnerowicz, J. Math. Pure Appl. B 37, 23 (1944). Web of Science, Google Scholar
J. W. York Jr., Phys. Rev. Lett. 26, 1658 (1971), DOI: 10.1103/PhysRevLett.26.1656. Google Scholar
K. Kuchar, J. Math. Phys. 13, 768 (1972), DOI: 10.1063/1.1666050. Web of Science, ADS, Google Scholar
A. G. Riesset al., Astrophys. J. 560, 49 (2001), DOI: 10.1086/322348. Web of Science, ADS, Google Scholar
D. Puetzfeld, Class. Quant. Grav. 19, 4463 (2002), DOI: 10.1088/0264-9381/19/16/316. Web of Science, ADS, Google Scholar
P. P. Avelino and C. J. A. P. Martins, Astrophys. J. 565, (2002), DOI: 10.1086/323832. Google Scholar
N. Dalalet al., Phys. Rev. Lett. 87, 141302 (2001), DOI: 10.1103/PhysRevLett.87.141302. Web of Science, ADS, Google Scholar
M. Tegmark, Phys. Rev. D 66, 103507 (2002), DOI: 10.1103/PhysRevD.66.103507. Web of Science, Google Scholar
Z.-H. Zhu and M. Fujimoto, Astrophys. J. 585, 52 (2003), DOI: 10.1086/346002. Web of Science, ADS, Google Scholar
P. A. M. Dirac, Proc. R. Soc. Lond. A 333, 403 (1973). Web of Science, ADS, Google Scholar
H. Weyl, Sitzsber. Berl. Akad. 465, (1918). Google Scholar
V. Faraoni, Phys. Rev. D 59, 084021 (1999), DOI: 10.1103/PhysRevD.59.084021. Web of Science, Google Scholar
A. Zee, Phys. Rev. Lett. 42, 417 (1979), DOI: 10.1103/PhysRevLett.42.417. Web of Science, ADS, Google Scholar
L. Smolin, Nucl. Phys. B 160, 253 (1979), DOI: 10.1016/0550-3213(79)90059-2. Web of Science, ADS, Google Scholar
D. S. Salopek, J. R. Bond and J. M. Bardeen, Phys. Rev. D 40, 1753 (1989), DOI: 10.1103/PhysRevD.40.1753. Web of Science, ADS, Google Scholar
R. Fakir and W. G. Unruh, Phys. Rev. D 41, 1792 (1990), DOI: 10.1103/PhysRevD.41.1792. Web of Science, ADS, Google Scholar
A. G. Riesset al., Astron. J. 116, 1009 (1998), DOI: 10.1086/300499. Web of Science, Google Scholar
S. Perlmutteret al., Astrophys. J. 517, 565 (1999), DOI: 10.1086/307221. Web of Science, ADS, Google Scholar
R. R. Caldwell, R. Dave and P. J. Steinhardt, Phys. Rev. Lett. 80, 1586 (1998), DOI: 10.1103/PhysRevLett.80.1582. Web of Science, Google Scholar
R. R. Caldwell, Phys. Lett. B 545, 23 (2002). Web of Science, ADS, Google Scholar
T. Padmanabhan , arXiv:astro-ph/0411044 . Google Scholar
Y.-F. Caiet al., Phys. Lett. B 646, 141 (2007). Web of Science, ADS, Google Scholar
A. D. Linde , arXiv:0705.0164v2 . Google Scholar
V. Pervushinet al., Phys. Lett. B 365, 35 (1996). Web of Science, ADS, Google Scholar
V. N. Pervushin and V. I. Smirichinski, J. Phys. A: Math. Gen. 32, 6191 (1999), DOI: 10.1088/0305-4470/32/34/306. ADS, Google Scholar
M. Pawlowski and V. N. Pervushin, Int. J. Mod. Phys. A 16, 1715 (2001), DOI: 10.1142/S0217751X01003354. Link, Web of Science, ADS, Google Scholar
N. A. Bahcall and X. Fan, Publ. Nat. Acad. Sci. 95, 5956 (1998), DOI: 10.1073/pnas.95.11.5956. Web of Science, Google Scholar
N. A. Bahcall and X. Fan, Astrophys. J. 504, 1 (1998), DOI: 10.1086/306088. Web of Science, ADS, Google Scholar
D. N. Spergel et al. , arXiv:astro-ph/0603449 . Google Scholar
U. Seljak, A. Slosar and P. McDonald, J. Cosmol. Astropart. Phys. 10, 14 (2006). ADS, Google Scholar
T. M. Daviset al., Astrophys. J. 666, 716 (2007), DOI: 10.1086/519988. Web of Science, ADS, Google Scholar
W. M. Wood-Vaseyet al., Astrophys. J. 666, 694 (2007), DOI: 10.1086/518642. Web of Science, ADS, Google Scholar
A. Riesset al., Astrophys. J. 659, 98 (2007), DOI: 10.1086/510378. Web of Science, ADS, Google Scholar
A. B. Arbuzovet al., Phys. Lett. B 691, 230 (2010). Web of Science, ADS, Google Scholar