A dynamical system analysis of holographic dark energy models with different IR cutoff

被引:10
作者
Mahata, Nilanjana [1 ]
Chakraborty, Subenoy [1 ]
机构
[1] Jadavpur Univ, Dept Math, Kolkata 700032, W Bengal, India
关键词
Holographic dark energy; interaction; autonomous system; phase plane; HUBBLE-SPACE-TELESCOPE; SUPERNOVAE;
D O I
10.1142/S0217732315501345
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The paper deals with a dynamical system analysis of the cosmological evolution of an holographic dark energy (HDE) model interacting with dark matter (DM) which is chosen in the form of dust. The infrared cutoff of the holographic model is considered as future event horizon or Ricci length scale. The interaction term between dark energy (DE) and DM is chosen of following three types: (i) proportional to the sum of the energy densities of the two dark components, (ii) proportional to the product of the matter energy densities and (iii) proportional to DE density. The dynamical equations are reduced to an autonomous system for the three cases and corresponding phase space is analyzed.
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页数:16
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共 50 条
[1]   SPECTRA AND HUBBLE SPACE TELESCOPE LIGHT CURVES OF SIX TYPE Ia SUPERNOVAE AT 0.511 < z < 1.12 AND THE UNION2 COMPILATION [J].
Amanullah, R. ;
Lidman, C. ;
Rubin, D. ;
Aldering, G. ;
Astier, P. ;
Barbary, K. ;
Burns, M. S. ;
Conley, A. ;
Dawson, K. S. ;
Deustua, S. E. ;
Doi, M. ;
Fabbro, S. ;
Faccioli, L. ;
Fakhouri, H. K. ;
Folatelli, G. ;
Fruchter, A. S. ;
Furusawa, H. ;
Garavini, G. ;
Goldhaber, G. ;
Goobar, A. ;
Groom, D. E. ;
Hook, I. ;
Howell, D. A. ;
Kashikawa, N. ;
Kim, A. G. ;
Knop, R. A. ;
Kowalski, M. ;
Linder, E. ;
Meyers, J. ;
Morokuma, T. ;
Nobili, S. ;
Nordin, J. ;
Nugent, P. E. ;
Ostman, L. ;
Pain, R. ;
Panagia, N. ;
Perlmutter, S. ;
Raux, J. ;
Ruiz-Lapuente, P. ;
Spadafora, A. L. ;
Strovink, M. ;
Suzuki, N. ;
Wang, L. ;
Wood-Vasey, W. M. ;
Yasuda, N. .
ASTROPHYSICAL JOURNAL, 2010, 716 (01) :712-738
[2]   Phantom damping of matter perturbations [J].
Amendola, L ;
Tsujikawa, S ;
Sami, M .
PHYSICS LETTERS B, 2006, 632 (2-3) :155-158
[3]   Stationary dark energy: The present universe as a global attractor [J].
Amendola, L ;
Tocchini-Valentini, D .
PHYSICAL REVIEW D, 2001, 64 (04) :5
[4]  
[Anonymous], MON NOT R ASTRON SOC
[5]  
[Anonymous], 1995, J MATH PHYS
[6]  
[Anonymous], J COSMOL ASTROPART P
[7]   Phase structure of the massive chiral Gross-Neveu model from the Hartree-Fock approach [J].
Boehmer, Christian ;
Fritsch, Ulf ;
Kraus, Sebastian ;
Thies, Michael .
PHYSICAL REVIEW D, 2008, 78 (06)
[8]  
Brustein R, 2008, LECT NOTES PHYS, V737, P619, DOI 10.1007/978-3-540-74233-6_21
[9]   Cosmological imprint of an energy component with general equation of state [J].
Caldwell, RR ;
Dave, R ;
Steinhardt, PJ .
PHYSICAL REVIEW LETTERS, 1998, 80 (08) :1582-1585
[10]  
Campo SD., 2011, PHYS REV D, V83