Comparative Analysis of Standard ΛCDM and ΛCS Models
DOI:
https://doi.org/10.15407/ujpe57.11.1169Keywords:
-Abstract
We draw a comparison of time-dependent cosmological parameters calculated in the standard ΛCDM model with those of the model of a homogeneous and isotropic Universe with non-zero cosmological constant filled with a perfect gas of low-velocity cosmic strings (ΛCS model). It is shown that pressure-free matter can obtain the properties of a gas of low-velocity cosmic strings in the epoch, when the global geometry and the total amount of matter in the Universe as a whole obey an additional constraint. This constraint follows from the quantum geometrodynamical approach in the semiclassical approximation. In terms of general relativity, its effective contribution to the field equations can be linked to the time evolution of the equation of state of matter caused by the processes of redistribution of the energy between matter components. In the present article, the exact solutions of the Einstein equations for the ΛCS model are found. It is demonstrated that this model is equivalent to the open de Sitter model. After the scale transformation of the time variable of the ΛCS model, the standard ΛCDM and ΛCS models provide the equivalent descriptions of cosmological parameters as functions of time at equal values of the cosmological constant. The exception is the behavior of the deceleration parameter in the early Universe.
References
K. Nakamura et al. (Particle Data Group), J. Phys. G 37, 075021 (2010).
https://doi.org/10.1088/0954-3899/37/7A/075021
A. Riotto, CERN Yellow Report CERN-2010-01, 315 (2010), arXiv:1010.2642 [hep-ph] (2010).
E. Bianchi and C. Rovelli, arXiv:1002.3966 [astro-ph.CO] (2010).
L. Perivolaropoulos, arXiv:1104.0539 [astro-ph.CO] (2011)
L. Perivolaropoulos, in The Problems of Modern Cosmology, edited by P.M. Lavrov (Tomsk State Pedagogical Univ., Tomsk, 2009), arXiv:0811.4684 [astro-ph] (2008)
P. Kroupa et al., Astron. Astrophys. 523, A32 (2010), arXiv:1006.1647 [astro-ph.CO] (2010).
https://doi.org/10.1051/0004-6361/201014892
E.W. Kolb, Astrophys. J. 344, 543 (1989).
https://doi.org/10.1086/167825
E.W. Kolb and M.S. Turner, The Early Universe (Addison-Wesley, Redwood City, 1990).
G.J. Whitrow and D.G. Randall, MNRAS 111, 455 (1951).
https://doi.org/10.1093/mnras/111.5.455
D. Meschini, Found. Sci. 12, 277 (2007), arXiv:gr-qc/0601097 (2006)
https://doi.org/10.1007/s10699-006-9102-3
C. Kiefer and B. Sandhoefer, in Beyond the Big Bang, edited by R. Vaas (Springer, Heidelberg, 2008), arXiv:0804.0672 [gr-qc] (2008).
V.V. Kuzmichev, Ukr. J. Phys. 43, 896 (1998)
V.V. Kuzmichev, Phys. Atom. Nucl. 62, 708 (1999), arXiv:gr-qc/0002029 (2000)
V.V. Kuzmichev, Phys. Atom. Nucl. 62, 1524 (1999), arXiv:gr-qc/0002030 (2000)
V.E. Kuzmichev and V.V. Kuzmichev, Eur. Phys. J. C 23, 337 (2002), arXiv:astro-ph/0111438 (2001).
https://doi.org/10.1007/s100520100850
V.E. Kuzmichev and V.V. Kuzmichev, Acta Phys. Pol. B 39, 979 (2008), arXiv:0712.0464 [gr-qc] (2007); V.E. Kuzmichev and V.V. Kuzmichev, Acta Phys. Pol. B 39, 2003 (2008), arXiv:0712.0465 [gr-qc] (2007); V.E. Kuzmichev and V.V. Kuzmichev, Acta Phys. Pol. B 40, 2877 (2009), arXiv:0905.4142 [gr-qc] (2009); V.E. Kuzmichev and
V.V. Kuzmichev, Ukr. J. Phys. 55, 626 (2010).
F. Lund, Phys. Rev. D 8, 3247 (1973)
https://doi.org/10.1103/PhysRevD.8.3247
V.G. Lapchinskii and V.A. Rubakov, Theor. Math. Phys. 33, 1076 (1977)
https://doi.org/10.1007/BF01036991
F.J. Tipler, Rep. Prog. Phys. 68, 897 (2005).
https://doi.org/10.1088/0034-4885/68/4/R04
R.C. Tolman, Relativity, Thermodynamics and Cosmology (Clarendon Press, Oxford, 1969).
A.G. Riess et al., Astrophys. J. 730, 119 (2011), arXiv:1103.2976 [astro-ph.CO] (2011).
D. Larson et al., Astrophys. J. Suppl. 192, 16 (2011), arXiv:1001.4635 [astro-ph.CO] (2010)
N. Jarosik et al., Astrophys. J. Suppl. 192, 14 (2011), arXiv:1001.4744 [astro-ph.CO] (2010).
A. Benoit-Levy and G. Chardin, arXiv:0903.2446 [astro-ph.CO] (2009)
arXiv:0811.2149 [astro-ph] (2008).
J.R. Gott and M.J. Rees, MNRAS 227, 453 (1987).
https://doi.org/10.1093/mnras/227.2.453
Ø. Grøn, Eur. J. Phys. 23, 135 (2002), arXiv:0801.0552 [astro-ph] (2008).
https://doi.org/10.1088/0143-0807/23/2/307
A. Vilenkin, Phys. Rep. 121, 263 (1985).
https://doi.org/10.1016/0370-1573(85)90033-X
M. Rowan-Robinson, Cosmology (Clarendon Press, Oxford, 2004).
D.W. Sciama, MNRAS 113, 34 (1953).
https://doi.org/10.1093/mnras/113.1.34
D.W. Sciama, Modern Cosmology (Cambridge Univ. Press, Cambridge, 1971).
E. Mach, Die Mechanik in Ihrer Entwickelung: Historisch-Kritisch Dargestellt (F.A. Brockhaus, Leipzig, 1897).
H. Bondi and J. Samuel, Phys. Lett. A 228, 121 (1997), arXiv:gr-qc/9607009 (1996).
https://doi.org/10.1016/S0375-9601(97)00117-5
J. Barbour, Found. Phys. 40, 1263 (2010), arXiv:1007.3368 [gr-qc] (2010).
https://doi.org/10.1007/s10701-010-9490-7
J.A. Wheeler, in Gravitation and Relativity, edited by Hong-Yee Chiu and W.F. Hoffmann (Benjamin, New York, 1964).
C.H. Brans and R.H. Dicke, Phys. Rev. 124, 925 (1961).
https://doi.org/10.1103/PhysRev.124.925
M. Heller, Acta Phys. Pol. B 1, 123 (1970).
P.A.M. Dirac, Nature 139, 323 (1937).
https://doi.org/10.1038/139323a0
P.A.M. Dirac, Proc. Roy. Soc. London A 333, 403 (1973).
https://doi.org/10.1098/rspa.1973.0070
S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972).
J.P. Petit, Mod. Phys. Lett. A 3, 1527 (1988)
https://doi.org/10.1142/S0217732388001823
J.W. Moffat, Int. J. Mod. Phys. D 2, 351 (1993), arXiv:gr-qc/9211020 (1992)
https://doi.org/10.1142/S0218271893000246
A. Albrecht and J. Magueijo, Phys. Rev. D 59, 043516 (1999), arXiv:astro-ph/9811018 (1998).
https://doi.org/10.1103/PhysRevD.59.043516
T. Chiba, Prog. Theor. Phys. 126, 993 (2011), arXiv:1111.0092 [gr-qc] (2011).
https://doi.org/10.1143/PTP.126.993
I. Prigogine, J. Geheniau, E. Gunzig, and P. Nardone, Gen. Relativ. Gravit. 21, 767 (1989); J.A.S. Lima, M.O. Calvao, and I. Waga, Cosmology, Thermodynamics and Matter Creation in Frontier Physics, Essays in Honor of Jaime Tiomno, edited by S. MacDowel, H.M. Nussenzweig, and R.A. Salmeron (World Scientific, Singapore,
https://doi.org/10.1007/BF00758981
; arXiv:0708.3397 [astro-ph] (2007); A. de Roany and J.A. de Freitas Pacheco, Gen. Relativ. Gravit. 43, 61 (2011).
https://doi.org/10.1007/s10714-010-1069-2
L.D. Landau and E.M. Lifshitz, The Classical Theory of Fields (Butterworth-Heinemann, Amsterdam, 1975).
Downloads
Published
How to Cite
Issue
Section
License
Copyright Agreement
License to Publish the Paper
Kyiv, Ukraine
The corresponding author and the co-authors (hereon referred to as the Author(s)) of the paper being submitted to the Ukrainian Journal of Physics (hereon referred to as the Paper) from one side and the Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, represented by its Director (hereon referred to as the Publisher) from the other side have come to the following Agreement:
1. Subject of the Agreement.
The Author(s) grant(s) the Publisher the free non-exclusive right to use the Paper (of scientific, technical, or any other content) according to the terms and conditions defined by this Agreement.
2. The ways of using the Paper.
2.1. The Author(s) grant(s) the Publisher the right to use the Paper as follows.
2.1.1. To publish the Paper in the Ukrainian Journal of Physics (hereon referred to as the Journal) in original language and translated into English (the copy of the Paper approved by the Author(s) and the Publisher and accepted for publication is a constitutive part of this License Agreement).
2.1.2. To edit, adapt, and correct the Paper by approval of the Author(s).
2.1.3. To translate the Paper in the case when the Paper is written in a language different from that adopted in the Journal.
2.2. If the Author(s) has(ve) an intent to use the Paper in any other way, e.g., to publish the translated version of the Paper (except for the case defined by Section 2.1.3 of this Agreement), to post the full Paper or any its part on the web, to publish the Paper in any other editions, to include the Paper or any its part in other collections, anthologies, encyclopaedias, etc., the Author(s) should get a written permission from the Publisher.
3. License territory.
The Author(s) grant(s) the Publisher the right to use the Paper as regulated by sections 2.1.1–2.1.3 of this Agreement on the territory of Ukraine and to distribute the Paper as indispensable part of the Journal on the territory of Ukraine and other countries by means of subscription, sales, and free transfer to a third party.
4. Duration.
4.1. This Agreement is valid starting from the date of signature and acts for the entire period of the existence of the Journal.
5. Loyalty.
5.1. The Author(s) warrant(s) the Publisher that:
– he/she is the true author (co-author) of the Paper;
– copyright on the Paper was not transferred to any other party;
– the Paper has never been published before and will not be published in any other media before it is published by the Publisher (see also section 2.2);
– the Author(s) do(es) not violate any intellectual property right of other parties. If the Paper includes some materials of other parties, except for citations whose length is regulated by the scientific, informational, or critical character of the Paper, the use of such materials is in compliance with the regulations of the international law and the law of Ukraine.
6. Requisites and signatures of the Parties.
Publisher: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine.
Address: Ukraine, Kyiv, Metrolohichna Str. 14-b.
Author: Electronic signature on behalf and with endorsement of all co-authors.
.png){kind=small}
