Dynamics of expansion of the Universe in the models with non-minimally coupled dark energy
Heading:
| 1Neomenko, R, 2Novosyadlyi, B 1Ivan Franko National University of Lviv, Lviv, Ukraine 2Astronomical Observatory of Ivan Franko National University of Lviv, Lviv, Ukraine |
| Kinemat. fiz. nebesnyh tel (Online) 2016, 32(4):3-22 |
| Start Page: Problems of Astronomy |
| Language: Ukrainian |
Abstract: The dark energy model with barotropic equation of state, which interacts with dark matter by gravitation and by other force, which causes the energy-momentum exchange between them is considered. Both components are described by approximation of ideal fluid, parameters of which are parameter of density, parameter of equation of state effective sound speed. The three types of interactions between them are considered: interaction independent from densities of dark components, interaction proportional to energy density of dark energy and interaction proportional to energy density of dark matter. Based on the general covariant conservation equations and Einstein’s equations the equations which describe the dynamics of expansion of the homogeneous isotropic Universe and evolution of densities of both components for different values of interaction parameter. For these three kinds of interactions was shown that exist regions in values of parameters of dark energy and force of interaction for which the densities of and their total density can take negative values. The conditions of positivity of energy density of dark energy and dark matter were found. From these conditions the constraints on value of parameter of interaction were derived. The dynamics of expansion of the Universe with these interactions was analyzed. |
| Keywords: dark energy, dark matter, dynamics of the Universe, Einstein’s equations |
References:
1.E. Abdalla, E. G. M. Ferreira, J. Quintin, A. A. Costa, and B. Wang, “New evidence for interacting dark energy from BOSS” (2014). https://arxivorg/abs/1412.2777.
2.L. Amendola, “Coupled quintessence,” Phys. Rev. D: Part. Fields 62, 043511 (2000).
https://doi.org/10.1103/PhysRevD.62.043511
3.L. Amendola, G. C. Campos, and R. Rosenfeld, “Consequences of dark matter-dark energy interaction on cosmological parameters derived from type Ia supernova data,” Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 75, 083506 (2007).
https://doi.org/10.1103/PhysRevD.75.083506
4.L. Amendola and C. Quercellini, “Tracking and coupled dark energy as seen by the Wilkinson Microwave Anisotropy Probe,” Phys. Rev. D: Part. Fields 68, 023514 (2003).
https://doi.org/10.1103/PhysRevD.68.023514
5.L. Amendola and S. Tsujikawa, Dark Energy: Theory and Observations (Cambridge Univ. Press, Cambridge, 2010).
https://doi.org/10.1017/CBO9780511750823
6.Yu. L. Bolotin, A. Kostenko, O. A. Lemets, and D. A. Yerokhin, “Cosmological evolution with interaction between dark energy and dark matter,” Int. J. Mod. Phys. D 24, 1530007 (2015).MathSciNet
https://doi.org/10.1142/S0218271815300074
7.G. Caldera-Cabral, R. Maartens, and L. A. Ureña-López, “Dynamics of interacting dark energy,” Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 79, 063518 (2009).
https://doi.org/10.1103/PhysRevD.79.063518
8.E. J. Copeland, M. Sami, and S. Tsujikawa, “Dynamics of dark energy,” Int. J. Mod. Phys. D 15, 1753–1936 (2006).MathSciNet
https://doi.org/10.1142/S021827180600942X
9.S. del Campo, R. Herrera, G. Olivares, and D. Pavón, “Interacting models of soft coincidence,” Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 74, 023501 (2006).
https://doi.org/10.1103/PhysRevD.74.023501
10.P. J. Elahi, G. F. Lewis, C. Power, et al., “Hidden from view: coupled dark sector physics and small scales,” Mon. Not. R. Astron. Soc. 452, 1341–1352 (2015).
https://doi.org/10.1093/mnras/stv1370
11.R. S. Gonçalves, G.C. Carvalho, and J. S. Alcaniz, “Low-z test for interacting dark energy,” Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 92, 123504 (2015). https://arxivorg/abs/1507.01921v1.
https://doi.org/10.1103/PhysRevD.92.123504
12.B. Gumjudpai, T. Naskar, M. Sami, and S. Tsujikawa, “Coupled dark energy: Towards a general description of the dynamics,” J. Cosmol. Astropart. Phys., No. 6, 007 (2005).
https://doi.org/10.1088/1475-7516/2005/06/007
13.Z.-K. Guo, N. Ohta, and S. Tsujikawa, “Probing the coupling between dark components of the universe,” Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 76, 023508 (2007).
https://doi.org/10.1103/PhysRevD.76.023508
14.G. La Vacca, J. R. Kristiansen, L. P. L. Colombo, et al., “Do WMAP data favor neutrino mass and a coupling between Cold Dark Matter and Dark Energy?” J. Cosmol. Astropart. Phys., No. 4, 007 (2009).
15.B. Novosyadlyj, V. Pelykh, Yu. Shtanov, and A. Zhuk, Dark Energy: Observational Evidence and Theoretical Models, Ed. by V. Shulga (Akademperiodyka, Kyiv, 2013).
16.B. Novosyadlyj and O. Sergijenko, “Scalar field models of dark energy with barotropic equation of state: properties and observational constraints from different datasets,” in Proc. 10th Int. Gamow Conf.-Summer School “Astronomy and Beyond: Cosmomicrophysics, Cosmology and Gravitation, Astrophysics, Radio Astronomy and Astrobiology”, Odessa, Aug. 23–28, 2010 (Astroprint, Odessa, 2010), pp. 12–21.
17.B. Novosyadlyj, O. Sergijenko, S. Apunevych, and V. Pelykh, “Properties and uncertainties of scalar field models of dark energy with barotropic equation of state,” Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 82, 103008 (2010).
https://doi.org/10.1103/PhysRevD.82.103008
18.B. Novosyadlyj, O. Sergijenko, R. Durrer, and V. Pelykh, “Do the cosmological observational data prefer phantom dark energy?” Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 86, 083008 (2012).
19.C. Penzo, A. V. Macciò, M. Baldi, et al., “Effects of coupled dark energy on the milky way and its satellites,” (2015). https://arxivorg/abs/1504.07243v1.
20.G. Pollina, M. Baldi, F. Marulli, and L. Moscardini, “Cosmic voids in coupled dark energy cosmologies: the impact of halo bias,” Mon. Not. R. Astron. Soc. 455, 3075–3085(2015). https://arxivorg/abs/1506.08831v1.
https://doi.org/10.1093/mnras/stv2503
21.A. Pourtsidou, C. Skordis, and E. J. Copeland, “Models of dark matter coupled to dark energy,” Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 88, 083505 (2013).
https://doi.org/10.1103/PhysRevD.88.083505
22.O. Sergijenko and B. Novosyadlyj, “Sound speed of scalar field dark energy: Weak effects and large uncertainties,” Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 91, 083007 (2015).
https://doi.org/10.1103/PhysRevD.91.083007
23.H. Wei and S. N. Zhang, “Observational H(z) data and cosmological models,” Phys. Lett. B 644, 7–15 (2007).
https://doi.org/10.1016/j.physletb.2006.11.027
24.W. Zimdahl, D. Pavón, L. P. Chimento, “Interacting quintessence,” Phys. Lett. B 521, 133–138 (2001).
https://doi.org/10.1016/S0370-2693(01)01174-1