Higher order corrections of the extended Chaplygin gas cosmology with varying \(G\) and
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- 作者：E. O. Kahya (1)
M. Khurshudyan (2)
B. Pourhassan (3)
R. Myrzakulov (4)
A. Pasqua (5)
1. Physics Department ; Istanbul Technical University ; Istanbul ; Turkey
2. Max Planck Institute of Colloids and Interfaces ; Potsdam-Golm Science Park Am Mhlenberg 1 OT Golm ; 14476 ; Potsdam ; Germany
3. School of Physics ; Damghan University ; Damghan ; Iran
4. Eurasian International Center for Theoretical Physics ; Eurasian National University ; Astana ; 010008 ; Kazakhstan
5. Department of Physics ; University of Trieste ; Via Valerio ; 2 ; 34127 ; Trieste ; Italy - 刊名：The European Physical Journal C - Particles and Fields
- 出版年：2015
- 出版时间：February 2015
- 年：2015
- 卷：75
- 期：2
- 全文大小：1,187 KB
- 参考文献：1. P. de Bernardis et al., A flat Universe from high-resolution maps of the cosmic microwave background radiation. Nature 404, 955 (2000) 10.1038/35010035" target="_blank" title="It opens in new window">CrossRef
2. S. Perlmutter et al., Measurements of \(\Omega \) and \(\Lambda \) from 42 high-redshift supernovae. Astrophys. J. 517, 565 (1999) 10.1086/307221" target="_blank" title="It opens in new window">CrossRef
3. A.G. Riess et al., Observational evidence from Supernovae for an accelerating universe and a cosmological constant. Astron. J. 116, 1009 (1998) 10.1086/300499" target="_blank" title="It opens in new window">CrossRef
4. U. Seljak et al., Cosmological parameter analysis including SDSS Ly \(\alpha \) forest and galaxy bias: constraints on the primordial spectrum of fluctuations, neutrino mass, and dark energy. Phys. Rev. D 71, 103515 (2005) 10.1103/PhysRevD.71.103515" target="_blank" title="It opens in new window">CrossRef
5. P. Astier et al., The Supernova legacy survey: measurement of \(\Omega _{m}\) , \(\Omega _{\Lambda }\) and w from the first year data set. Astron. Astrophys. 447, 31 (2006) 10.1051/0004-6361:20054185" target="_blank" title="It opens in new window">CrossRef
6. C.L. Bennett et al., First-year Wilkinson microwave anisotropy probe (WMAP) observations: preliminary maps and basic results. Astrophys. J. Suppl. Ser. 148, 1 (2003) 10.1086/377253" target="_blank" title="It opens in new window">CrossRef
7. D.N. Spergel et al., First-year Wilkinson microwave anisotropy probe (WMAP) observations: determination of cosmological parameters. Astrophys. J. Suppl. Ser. 148, 175 (2003) 10.1086/377226" target="_blank" title="It opens in new window">CrossRef
8. E. Komatsu et al., Five-year Wilkinson microwave anisotropy probe observations: cosmological interpretation. Astrophys. J. Suppl. 180, 330 (2009) 10.1088/0067-0049/180/2/330" target="_blank" title="It opens in new window">CrossRef
9. Planck Collaboration, P.A.R. Ade et al., Planck 2013 results. XVI. Cosmological parameters. Astron. Astrophys. 571, A16 (2014)
10. M. Tegmark et al., Cosmological parameters from SDSS and WMAP. Phys. Rev. D 69, 103501 (2004) 10.1103/PhysRevD.69.103501" target="_blank" title="It opens in new window">CrossRef
11. K. Abazajian et al., The second data release of the sloan digital sky survey. Astron. J. 128, 502 (2004) 10.1086/421365" target="_blank" title="It opens in new window">CrossRef
12. J.K. Adelman-McCarthy et al., The sixth data release of the sloan digital sky survey. Astrophys. J. Suppl. Ser. 175, 297 (2008) 10.1086/524984" target="_blank" title="It opens in new window">CrossRef
13. S.W. Allen et al., Constraints on dark energy from Chandra observations of the largest relaxed galaxy clusters. Mon. Not. R. Astron. Soc. 353, 457 (2004) 10.1111/j.1365-2966.2004.08080.x" target="_blank" title="It opens in new window">CrossRef
14. E.J. Copeland, M. Sami, S. Tsujikawa, Dynamics of dark energy. Int. J. Mod. Phys. D 15, 1753 (2006) 10.1142/S021827180600942X" target="_blank" title="It opens in new window">CrossRef
15. S. Nobbenhuis, Categorizing different approaches to the cosmological constant problem. Found. Phys. 36, 613 (2006) 10.1007/s10701-005-9042-8" target="_blank" title="It opens in new window">CrossRef
16. S. del Campo, R. Herrera, D. Pavon, Interacting models may be key to solve the cosmic coincidence problem. J. Cosmol. Astropart. Phys. 0901, 020 (2009) 10.1088/1475-7516/2009/01/020" target="_blank" title="It opens in new window">CrossRef
17. M.S. Berger, H. Shojae, Interacting dark energy and the cosmic coincidence problem. Phys. Rev. D 73, 083528 (2006) 10.1103/PhysRevD.73.083528" target="_blank" title="It opens in new window">CrossRef
18. K. Griest, Toward a possible solution to the cosmic coincidence problem. Phys. Rev. D 66, 123501 (2002) 10.1103/PhysRevD.66.123501" target="_blank" title="It opens in new window">CrossRef
19. M. Jamil, A. Sheykhi, M.U. Farooq, Thermodynamics of interacting entropy-corrected holographic dark energy in a non-flat FRW universe. Int. J. Mod. Phys. D 19, 1831 (2010) 10.1142/S0218271810018116" target="_blank" title="It opens in new window">CrossRef
20. T. Padmanabhan, Cosmological constant鈥攖he weight of the vacuum. Phys. Rep. 380, 235 (2003) 10.1016/S0370-1573(03)00120-0" target="_blank" title="It opens in new window">CrossRef
21. V. Sahni, A.A. Starobinsky, The case for a positive cosmological lambda-term. Int. J. Mod. Phys. D 9, 373 (2000)
22. B. Ratra, P.J.E. Peebles, Cosmological consequences of a rolling homogeneous scalar field. Phys. Rev. D 37, 3406 (1988) 10.1103/PhysRevD.37.3406" target="_blank" title="It opens in new window">CrossRef
23. C. Wetterich, Cosmology and the fate of dilatation symmetry. Nucl. Phys. B 302, 668 (1988) 10.1016/0550-3213(88)90193-9" target="_blank" title="It opens in new window">CrossRef
24. M. Khurshudyan, E. Chubaryan, B. Pourhassan, Interacting quintessence models of dark energy. Int. J. Theor. Phys. 53, 2370 (2014) 10.1007/s10773-014-2036-6" target="_blank" title="It opens in new window">CrossRef
25. C. Armendariz-Picon, V. Mukhanov, P.J. Steinhardt, A dynamical solution to the problem of a small cosmological constant and late-time cosmic acceleration. Phys. Rev. Lett. 85, 4438 (2000) 10.1103/PhysRevLett.85.4438" target="_blank" title="It opens in new window">CrossRef
26. A. Sen, Remarks on tachyon driven cosmology. Phys. Scr. T117, 70 (2005) 10.1238/Physica.Topical.117a00070" target="_blank" title="It opens in new window">CrossRef
27. A.Y. Kamenshchik, U. Moschella, V. Pasquier, An alternative to quintessence. Phys. Lett. B 511, 265 (2001) 10.1016/S0370-2693(01)00571-8" target="_blank" title="It opens in new window">CrossRef
28. M.C. Bento, O. Bertolami, A.A. Sen, Generalized Chaplygin gas, accelerated expansion and dark energy matter unification. Phys. Rev. D 66, 043507 (2002) 10.1103/PhysRevD.66.043507" target="_blank" title="It opens in new window">CrossRef
29. L. Xu, J. Lu, Y. Wang, Revisiting generalized Chaplygin gas as a unified dark matter and dark energy model. Eur. Phys. J. C 72, 1883 (2012) 10.1140/epjc/s10052-012-1883-7" target="_blank" title="It opens in new window">CrossRef
30. J.D. Barrow, The deflationary universe: an instability of the de Sitter universe. Phys. Lett. B 180, 335 (1986) 10.1016/0370-2693(86)91198-6" target="_blank" title="It opens in new window">CrossRef
31. J.D. Barrow, String-driven inflationary and deflationary cosmological models. Nucl. Phys. B 310, 743 (1988) 10.1016/0550-3213(88)90101-0" target="_blank" title="It opens in new window">CrossRef
32. N. Ogawa, A note on classical solution of Chaplygin-gas as D-brane. Phys. Rev. D 62, 085023 (2000) 10.1103/PhysRevD.62.085023" target="_blank" title="It opens in new window">CrossRef
33. H. Saadat, B. Pourhassan, Effect of varying bulk viscosity on generalized Chaplygin gas. Int. J. Theor. Phys. 53, 1168 (2014) 10.1007/s10773-013-1913-8" target="_blank" title="It opens in new window">CrossRef
34. X.-H. Zhai, Y.-D. Xu, X.-Z. Li, Viscous generalized Chaplygin gas. Int. J. Mod. Phys. D 15, 1151 (2006) 10.1142/S0218271806008784" target="_blank" title="It opens in new window">CrossRef
35. Y.D. Xu et al., Generalized Chaplygin gas model with or without viscosity in the \(ww^{\prime }\) plane. Astrophys. Space Sci. 337, 493 (2012) 10.1007/s10509-011-0850-3" target="_blank" title="It opens in new window">CrossRef
36. U. Debnath, A. Banerjee, S. Chakraborty, Role of modified Chaplygin gas in accelerated universe. Class. Quantum Gravity 21, 5609 (2004) 10.1088/0264-9381/21/23/019" target="_blank" title="It opens in new window">CrossRef
37. H. Saadat, B. Pourhassan, FRW bulk viscous cosmology with modified Chaplygin gas in flat space. Astrophys. Space Sci. 343, 783 (2013) 10.1007/s10509-012-1268-2" target="_blank" title="It opens in new window">CrossRef
38. J. Naji, B. Pourhassan, A.R. Amani, Effect of shear and bulk viscosities on interacting modified Chaplygin gas cosmology. Int. J. Mod. Phys. D 23, 1450020 (2013) 10.1142/S0218271814500205" target="_blank" title="It opens in new window">CrossRef
39. J. Sadeghi, H. Farahani, Interaction between viscous varying modified cosmic Chaplygin gas and tachyonic fluid. Astrophys. Space Sci. 347, 209 (2013) 10.1007/s10509-013-1507-1" target="_blank" title="It opens in new window">CrossRef
40. B. Pourhassan, Viscous modified cosmic Chaplygin gas cosmology. Int. J. Mod. Phys. D 22, 1350061 (2013) 10.1142/S0218271813500612" target="_blank" title="It opens in new window">CrossRef
41. J. Sadeghi, B. Pourhassan, M. Khurshudyan, H. Farahani, Time-dependent density of modified cosmic Chaplygin gas with cosmological constant in non-flat universe. Int. J. Theor. Phys. 53, 911 (2014) 10.1007/s10773-013-1881-z" target="_blank" title="It opens in new window">CrossRef
42. H. Saadat, B. Pourhassan, FRW bulk viscous cosmology with modified cosmic Chaplygin gas. Astrophys. Space Sci. 344, 237 (2013) 10.1007/s10509-012-1301-5" target="_blank" title="It opens in new window">CrossRef
43. M.R. Setare, Holographic Chaplygin gas model. Phys. Lett. B 648, 329 (2007) 10.1016/j.physletb.2007.03.025" target="_blank" title="It opens in new window">CrossRef
44. J. Sadeghi, B. Pourhassan, Z. Abbaspour Moghaddam, Interacting entropy-corrected holographic dark energy and IR cut-off length. Int. J. Theor. Phys. 53, 125 (2014) 10.1007/s10773-013-1790-1" target="_blank" title="It opens in new window">CrossRef
45. M.R. Setare, Interacting holographic generalized Chaplygin gas model. Phys. Lett. B 654, 1 (2007) 10.1016/j.physletb.2007.08.038" target="_blank" title="It opens in new window">CrossRef
46. E.V. Linder, R.J. Scherrer, Aetherizing lambda: barotropic fluids as dark energy. Phys. Rev. D 80, 023008 (2009) 10.1103/PhysRevD.80.023008" target="_blank" title="It opens in new window">CrossRef
47. F. Rahaman, M. Jamil, K. Chakraborty, Revisiting the classical electron model in general relativity. Astrophys. Space Sci. 331, 191 (2011) 10.1007/s10509-010-0446-3" target="_blank" title="It opens in new window">CrossRef
48. B. Pourhassan, E.O. Kahya, Extended Chaplygin gas model. Results Phys. 4, 101 (2014) 10.1016/j.rinp.2014.05.007" target="_blank" title="It opens in new window">CrossRef
49. E.O. Kahya, B. Pourhassan, Observational constraints on the extended Chaplygin gas inflation. Astrophys. Space Sci. 353, 677 (2014) 10.1007/s10509-014-2069-6" target="_blank" title="It opens in new window">CrossRef
50. S. Nojiri, S.D. Odintsov, Introduction to modified gravity and gravitational alternative for dark energy. Int. J. Geom. Methods Mod. Phys. 4, 115 (2007) 10.1142/S0219887807001928" target="_blank" title="It opens in new window">CrossRef
51. K. Karami, M.S. Khaledian, Reconstructing \(f(R)\) modified gravity from ordinary and entropy-corrected versions of the holographic and new agegraphic dark energy models. JHEP 3, 86 (2011) 10.1007/JHEP03(2011)086" target="_blank" title="It opens in new window">CrossRef
52. M.R. Setare, The holographic dark energy in non-flat Brans鈥揇icke cosmology. Phys. Lett. B 644, 99 (2007) 10.1016/j.physletb.2006.11.033" target="_blank" title="It opens in new window">CrossRef
53. M.R. Setare, M. Jamil, Correspondence between entropy-corrected holographic and Gauss鈥揃onnet dark energy models. Europhys. Lett. 92, 49003 (2010) 10.1209/0295-5075/92/49003" target="_blank" title="It opens in new window">CrossRef
54. A. Pasqua, I. Khomenko, Interacting Ricci logarithmic entropy-corrected holographic dark energy in Brans鈥揇icke cosmology. Int. J. Theor. Phys. 344, 3981 (2013) 10.1007/s10773-013-1711-3" target="_blank" title="It opens in new window">CrossRef
55. C. Deffayet, G. Dvali, G. Gabadadze, Accelerated universe from gravity leaking to extra dimensions. Phys. Rev. D 65, 044023 (2002) 10.1103/PhysRevD.65.044023" target="_blank" title="It opens in new window">CrossRef
56. V. Sahni, Y. Shtanov, Braneworld models of dark energy. J. Cosmol. Astropart. Phys. 11, 14 (2003) 10.1088/1475-7516/2003/11/014" target="_blank" title="It opens in new window">CrossRef
57. A. Pasqua, S. Chattopadhyay, A study on modified holographic Ricci dark energy in modified \(f(R)\) Horava鈥揕ifshitz gravity. Can. J. Phys. 91, 351 (2013) 10.1139/cjp-2012-0547" target="_blank" title="It opens in new window">CrossRef
58. B. Li, T.P. Sotiriou, J.D. Barrow, Large-scale structure in \(f(T)\) gravity. Phys. Rev. D 83, 104017 (2011) 10.1103/PhysRevD.83.104017" target="_blank" title="It opens in new window">CrossRef
59. K. Bamba, C.Q. Geng, C.C. Lee, L.W. Luo, Equation of state for dark energy in \(f(T)\) gravity. J. Cosmol. Astropart. Phys. 1101, 021 (2011) 10.1088/1475-7516/2011/01/021" target="_blank" title="It opens in new window">CrossRef
60. T.P. Sotiriou, V. Faraoni, \(f(R)\) theories of gravity. Rev. Mod. Phys. 82, 451 (2010) 10.1103/RevModPhys.82.451" target="_blank" title="It opens in new window">CrossRef
61. A. Jawad, S. Chattopadhyay, A. Pasqua, A holographic reconstruction of the modified 10"> \(f(R)\) Horava鈥揕ifshitz gravity with scale factor in power-law form. Astrophys. Space Sci. 346, 273 (2013) 10.1007/s10509-013-1428-z" target="_blank" title="It opens in new window">CrossRef
62. S. Capozziello, S. Carloni, A. Troisi, Quintessence without scalar fields. Recent Res. Dev. Astron. Astrophys. 1, 625 (2003)
63. N. Arkani-Hamed, H.C. Cheng, M.A. Luty, S. Mukohyama, Ghost condensation and a consistent IR modification of gravity. JHEP 05, 043528 (2004)
64. A. Jawad, S. Chattopadhyay, A. Pasqua, Reconstruction of 12"> \(f(G)\) gravity with the new agegraphic dark-energy model. Eur. Phys. J. Plus 128, 88 (2012) 10.1140/epjp/i2013-13088-x" target="_blank" title="It opens in new window">CrossRef
65. R. Myrzakulov, FRW cosmology in 14"> \(f(R, T)\) gravity. Eur. Phys. J. C 72, 2203 (2012) 10.1140/epjc/s10052-012-2203-y" target="_blank" title="It opens in new window">CrossRef
66. S. Chattopadhyay, A. Pasqua, Holographic DBI-essence dark energy via power-law solution of the scale factor. Int. J. Theor. Phys. 52, 3945 (2013) 10.1007/s10773-013-1705-1" target="_blank" title="It opens in new window">CrossRef
67. A. Pasqua, S. Chattopadhyay, Logarithmic entropy-corrected holographic dark energy in Horava鈥揕ifshitz cosmology with Granda鈥揙liveros cut-off. Astrophys. Space Sci. 348, 541 (2013) 10.1007/s10509-013-1570-7" target="_blank" title="It opens in new window">CrossRef
68. A. Pasqua, S. Chattopadhyay, New agegraphic dark energy model in chameleon Brans鈥揇icke cosmology for different forms of the scale factor. Astrophys. Space Sci. 348, 283 (2013) 10.1007/s10509-013-1557-4" target="_blank" title="It opens in new window">CrossRef
69. M. Khurshudyan, A. Pasqua, B. Pourhassan, Higher derivative corrections of 15"> \(f(R)\) gravity with varying equation of state in the case of variable 16"> \(G\) and 17"> \(\Lambda \) . Can. J. Phys. 1401.6630" class="a-plus-plus">arXiv:1401.6630
70. M. Jamil, U. Debnath, FRW cosmology with variable 19"> \(G\) and lambda. Int. J. Theor. Phys. 50, 1602 (2011) 10.1007/s10773-011-0670-9" target="_blank" title="It opens in new window">CrossRef
71. M. Jamil, F. Rahaman, M. Kalam, Cosmic coincidence problem and variable constants of physics. Eur. Phys. J. C 60, 149 (2009) 10.1140/epjc/s10052-009-0865-x" target="_blank" title="It opens in new window">CrossRef
72. B.C. Paul, P.S. Debnath, Viscous cosmologies with variable \(G\) and 1"> \(\Lambda \) in \(R^{2}\) gravity. 1105.3307" class="a-plus-plus">arXiv:1105.3307
73. J. Lu, L. Xu, Y. Wu, M. Liu, Reduced modified Chaplygin gas cosmology. 1312.0779" class="a-plus-plus">arXiv:1312.0779
74. J. Lu, L. Xu, J. Li, B. Chang, Y. Gui, H. Liu, Constraints on modified Chaplygin gas from recent observations and a comparison of its status with other models. Phys. Lett. B 662, 87 (2008) 10.1016/j.physletb.2008.03.005" target="_blank" title="It opens in new window">CrossRef
75. A.M. Velasquez-Toribio, M.L. Bedran, Fitting cosmological data to the function \(q(z)\) from GR theory: modified Chaplygin gas. Braz. J. Phys. 41, 59 (2011) 10.1007/s13538-011-0012-7" target="_blank" title="It opens in new window">CrossRef
76. J. Lu, L. Xu, Y. Wu, M. Liu, Combined constraints on modified Chaplygin gas model from cosmological observed data: Markov Chain Monte Carlo approach. Gen. Relativ. Gravit. 43, 819 (2011) 10.1007/s10714-010-1103-4" target="_blank" title="It opens in new window">CrossRef
77. L. Xu, Y. Wang, H. Noh, Modified Chaplygin gas as a unified dark matter and dark energy model and cosmic constraints. Eur. Phys. J. C 72, 1931 (2012)
78. S. Chakraborty, U. Debnath, C. Ranjit, Observational constraints of modified Chaplygin gas in loop quantum cosmology. Eur. Phys. J. C 72, 2101 (2012) 10.1140/epjc/s10052-012-2101-3" target="_blank" title="It opens in new window">CrossRef
79. D. Panigrahi, B.C. Paul, S. Chatterjee, Constraining modified Chaplygin gas parameters. 1305.7204" class="a-plus-plus">arXiv:1305.7204
80. B.C. Paul, P. Thakur, Observational constraints on modified Chaplygin gas from cosmic growth. J. Cosmol. Astropart. Phys. 1311, 052 (2013) 10.1088/1475-7516/2013/11/052" target="_blank" title="It opens in new window">CrossRef
81. A.A. Usmani, P.P. Ghosh, U. Mukhopadhyay, P.C. Ray, S. Ray, The dark energy equation of state. Mon. Not. R. Astron. Soc. Lett. 386, L92鈥?5 (2008) 10.1111/j.1745-3933.2008.00468.x" target="_blank" title="It opens in new window">CrossRef
82. H. Wei, H.-Y. Qi, X.-P. Ma, Constraining \(f(T)\) theories with the varying gravitational constant. Eur. Phys. J. C 72, 2127 (2012) 10.1140/epjc/s10052-012-2117-8" target="_blank" title="It opens in new window">CrossRef
83. V. Sahni, T.D. Saini, A.A. Starobinsky, U. Alam, Statefinder鈥攁 new geometrical diagnostic of dark energy. JETP Lett. 77, 201 (2003) 10.1134/1.1574831" target="_blank" title="It opens in new window">CrossRef
84. A. Vale, J.P.S. Lemos, Linear perturbations in a universe with a cosmological constant. Mon. Not. R. Astron. Soc. 325, 1197 (2001) 10.1046/j.1365-8711.2001.04542.x" target="_blank" title="It opens in new window">CrossRef - 刊物类别：Physics and Astronomy
- 刊物主题：Physics
Elementary Particles and Quantum Field Theory
Nuclear Physics, Heavy Ions and Hadrons
Physics beyond the Standard Model
Measurement Science and Instrumentation
Astronomy, Astrophysics and Cosmology - 出版者：Springer Berlin / Heidelberg
- ISSN：1434-6052
文摘
In this paper, we study two different models of dark energy based on the Chaplygin gas equation of state. The first model is the variable modified Chaplygin gas, while the second one is the extended Chaplygin gas. Both models are considered in the framework of higher order \(f(R)\) modified gravity. We also consider the case of time-varying gravitational constant \(G\) and \(\Lambda \) for both models. We investigate some cosmological parameters such as the Hubble, the deceleration, and the equation of state parameters. Then we show that the model that we consider, the extended Chaplygin gas with time-dependent \(G\) and \(\Lambda \) , is consistent with the observational data. Finally we conclude with the discussion of cosmological perturbations of our model.