Behavior of interacting Ricci dark energy in logarithmic f(T) gravity
Tóm tắt
In the present work, we have considered a modified gravity model dubbed as ‘logarithmic f(T) gravity’ as reported by Bamba et al. (J. Cosmol. Astropart. Phys 1101:21, 2011) and investigated the behavior of Ricci dark energy interacting with pressureless Dark Matter. We have chosen the interaction term in the form Q=3H δ ρ
m
and investigated the behavior of the Hubble parameter H as a function of the redshift z. For this reconstructed H, we have investigated the behavior of the fractional density contribution due to the Ricci dark energy and torsion. Subsequently, we investigated the equation of state parameter wRDE which is found to have a phantom-like behavior for all choices of c2 in the Ricci dark energy density. 98.80.-k;95.36.+x;04.50.Kd
Tài liệu tham khảo
Spergel DN, Verde L, Peiris HV, Komatsu E, Nolta MR, Bennett CL, Halpern M, Hinshaw G, Jarosik N, Kogut A, Limon M, Meyer SS, Page L, Tucker GS, Weiland JL, Wollack E, Wright EL: First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: determination of cosmological parameters. Astrophys. J. Suppl 2003, 148: 175. 10.1086/377226
Perlmutter S, Aldering G, Goldhaber G, Knop RA, Nugent P, Castro PF, Deustua S, Fabbro S, Goobar A, Groom DE, Hook IM, Kim AG, Kim MY, Lee JC, Nunes NJ, Pain R, Pennypacker CR, Quimby R, Lidman C, Ellis RS, Irwin M, McMahon RG, Ruiz-Lapuente P, Walton N, Schaefer B, Boyle BJ, Filippenko AV, Matheson T, Fruchter AS, Panagia N, et al.: The Supernova Cosmology Project: Measurements of Ω and Λ from 42 high-redshift supernovae. Astrophys. J 1999, 517: 565. 10.1086/307221
Copeland EJ, Sami M, Tsujikawa S: Dynamics of Dark Energy. Int. J. Mod. Phys. D 2006, 15: 1753. 10.1142/S021827180600942X
Padmanabhan T: Dark Energy: the cosmological challenge of the millennium. Curr. Sci 2005, 88: 1057.
Bamba K, Capozziello S, Nojiri S, Odintsov SD: Dark Energy cosmology: the equivalent description via different theoretical models and cosmography tests. Astrophys. Space Sci 2012, 342: 155–228. 10.1007/s10509-012-1181-8
Tsujikawa S: Lect. Notes Phys. Modified gravity models of Dark Energy. Lectures on Cosmology Accelerated Expansion of the Universe by Georg Wolschin, Lecture Notes in Physics vol. 800,. Springer Berlin/Heidelberg, ISSN 1616–6361; ISBN 978–3-642–10597–5, pp. 99–145 (2010)
Nojiri S, Odintsov SD: Introduction to modified gravity and gravitational alternative for Dark Energy. Int. J. Geom. Meth. Mod. Phys 2007, 4: 115–146. 10.1142/S0219887807001928
Clifton T, Ferreira PG, Padilla A, Skordis C: Modified gravity and cosmology. Phys. Rep 2012, 513: 1–89. 10.1016/j.physrep.2012.01.001
Nojiri S, Odintsov SD: Modified f(R) gravity consistent with realistic cosmology: from a matter dominated epoch to a dark energy universe. Phys. Rev. D 2006, 74: 086005.
Nojiri S, Odintsov SD: Modified f(R) gravity unifying Rm inflation with the ΛCDM epoch. Phys. Rev. D 2008, 77: 026007.
Cai Y-F, Chen S-H, Dent JB, Dutta S, Saridakis EN: Matter bounce cosmology with the f(T) gravity. Class. Quantum Grav 2011, 28: 215011. 10.1088/0264-9381/28/21/215011
Ferraro R, Fiorini F: Modified teleparallel gravity: inflation without an inflaton. Phys. Rev. D 2007, 75: 084031.
Bamba K, Geng C-Q, Lee C-C, Luo L-W: Equation of state for dark energy in f(T) gravity. J. Cosmol. Astropart. Phys 2011, 1101: 021.
Bamba K, Geng C-Q, Lee Chung-Chi: Comment on “Einstein’s Other Gravity and the Acceleration of the Universe”. arXiv:1008.4036v1 [astro-ph.CO] arXiv:1008.4036v1 [astro-ph.CO]
Myrzakulov R, Saez-Gomez D, Tureanu A: On the ΛCDM Universe in f(G) gravity 1671–1684. Gen. Rel. Grav 2011, 43: 1671. 10.1007/s10714-011-1149-y
Banijamali A, Fazlpour B, Setare MR: Energy conditions in f(G) modified gravity with non-minimal coupling to matter. Astrophys. Space Sci 2012, 338: 327–332. 10.1007/s10509-011-0934-0
Kiritsis E, Kofinas G: Horava-Lifshitz cosmology. Nucl. Phys. B 2009, 821: 467–480. 10.1016/j.nuclphysb.2009.05.005
Nishioka T: FAST TRACK COMMUNICATION: Horava-Lifshitz holography. Class. Quant. Grav 2009, 26: 242001. 10.1088/0264-9381/26/24/242001
Nojiri S, Odintsov SD: Modified Gauss Bonnet theory as gravitational alternative for dark energy. Phys. Lett. B 2005, 631: 1–6. 10.1016/j.physletb.2005.10.010
Li B, Barrow JD, Mota DF: Cosmology of modified Gauss-Bonnet gravity. Phys. Rev. D 2007, 76: 044027.
Li B, Sotiriou TP, Barrow JD: f(T) gravity and local Lorentz invariance. Phys. Rev. D 2011, 83: 064035.
Sotiriou TP, Li B, Barrow JD: Generalizations of teleparallel gravity and local Lorentz symmetry. Phys. Rev. D 2011, 83: 104030.
Bamba K, Geng C-Q: Thermodynamics of cosmological horizons in f(T) gravity. J. Cosmol. Astropart. Phys 2011, 11: 008.
Myrzakulov R: Accelerating universe from f(T) gravity. Eur. Phys. J. C 2011, 71: 1752.
Jamil M, Momeni D, Myrzakulov R: Wormholes in a viable f(T) gravity. Eur. Phys. J. C 2013, 73: 2267.
Jamil M, Momeni D, Myrzakulov R: Energy conditions in generalized teleparallel gravity models. Gen. Relativity and Gravit 2013, 45: 263–273. 10.1007/s10714-012-1472-y
Jamil M, Momeni D, Myrzakulov R, Rudra P: Statefinder Analysis of f(T) Cosmology. J. Phys. Soc. Japan 2012, 81: 114004–114004–5.
Jamil M, Momeni D, Myrzakulov R: Noether symmetry of f(T) cosmology with quintessence and phantom scalar fields. Eur. Phys. J. C 2012, 72: 2137.
Jamil M, Momeni D, Myrzakulov R: Resolution of dark matter problem in f(T) gravity. Eur. Phys. J. C 2012, 72: 2122.
Jamil M, Yesmakhanova K, Momeni D, Myrzakulov R: Phase space analysis of interacting dark energy in f(T) cosmology. Cen. Eur. J. Phys 2012, 10: 1065–1071. 10.2478/s11534-012-0103-2
Bamba K, Jamil M, Momeni D: Myrzakulov, Generalized second law of thermodynamics in f(T) gravity with entropy corrections. R: Astrophys. Space Sci 2013, 344: 259–267. 10.1007/s10509-012-1312-2
Ratra B, Peebles PJE: Cosmological consequences of a rolling homogeneous scalar field. Phys. Rev. D 1988, 37: 3406–3427. 10.1103/PhysRevD.37.3406
Cai Y-F, Saridakis EN, Setare MR, Xia J-Q: Quintom cosmology: theoretical implications and observations. Phys. Rep 2010, 493: 1–60. 10.1016/j.physrep.2010.04.001
Nojiri S, Odintsov SD: Unifying phantom inflation with late-time acceleration: scalar phantom-non-phantom transition model and generalized holographic dark energy. Gen. Relativ. Grav 2006, 38: 1285–1304. 10.1007/s10714-006-0301-6
Gorini V, Kamenshchik A, Moschella U: Can the Chaplygin gas be a plausible model for dark energy? Phys. Rev. D 2003, 67: 063509.
Chimento LP: Extended tachyon field, Chaplygin gas, and solvable k-essence cosmologies. Phys. Rev. D 2004, 69: 123517.
Zhao W: Holographic hessence models. Phys. Lett. B 2007, 655: 97. 10.1016/j.physletb.2007.08.083
Setare MR: Interacting holographic dark energy model in non-flat universe. Phys. Lett. B 2006, 642: 1–4. 10.1016/j.physletb.2006.09.027
Setare MR: Bulk brane interaction and holographic dark energy. Phys. Lett. B 2006, 642: 421–425. 10.1016/j.physletb.2006.10.014
Setare MR: The holographic dark energy in non-flat Brans Dicke cosmology. Phys. Lett. B 2007, 644: 99–103. 10.1016/j.physletb.2006.11.033
Setare MR, Zhang J, Zhang X: Statefinder diagnosis in a non-flat universe and the holographic model of dark energy. J. Cosmol. Astropart. Phys 2007, 3: 7.
Hsu SD: Entropy bounds and dark energy. Phys. Lett. B 2004, 594: 13–16. 10.1016/j.physletb.2004.05.020
Xhang X: Holographic Ricci dark energy: current observational constraints, quintom feature, and the reconstruction of scalar-field dark energy. Phys. Rev. D 2009, 79: 103509.
Gao C, Wu F, Chen X, Y-Shen G: Holographic dark energy model from Ricci scalar curvature. Phys. Rev. D 2009, 79: 043511.
C-Feng J: Statefinder diagnosis for Ricci dark energy. Phys. Lett. B 2008, 670: 231–234. 10.1016/j.physletb.2008.11.005
Suwa M, Nihei T: Observational constraints on the interacting Ricci dark energy model. Phys. Rev. D 2010, 81: 023519.
Setare MR: Thermodynamical interpretation of the interacting holographic dark energy model in a non-flat universe. Phys. Lett. B 2008, 666: 111–115. 10.1016/j.physletb.2008.07.013
Setare MR: Interacting generalized Chaplygin gas model in non-flat universe. Eur. Phys. J. C 2007, 52: 689–692. 10.1140/epjc/s10052-007-0405-5
Setare MR, Sadeghi J, Amani AR: Interacting tachyon dark energy in non-flat universe. Phys. Lett. B 2009, 673: 241–246. 10.1016/j.physletb.2009.02.041
Jamil M, Yesmakhanova K, Momeni D, Myrzakulov R: Phase space analysis of interacting dark energy in f(T) cosmology. Cen. Eur. J. Phys 2012, 10: 1065–1071. 10.2478/s11534-012-0103-2
Jamil M, Rashid MA: Interacting dark energy with inhomogeneous equation of state. Eur. Phys. J. C 2008, 56: 429. 10.1140/epjc/s10052-008-0670-y
Popawski NJ: Interacting dark energy in f(R) gravity. Phys. Rev. D 2006, 74: 084032.
Pasqua A, Khodam-Mohammadi A, Jamil M, Myrzakulov R: Interacting Ricci dark energy with logarithmic correction. Astrophys. Space Sci 2012, 349: 199–208.
Pasqua A, Jamil M, Myrzakulov R, Majeed B: Power-law entropy-corrected Ricci dark energy and dynamics of scalar fields. Phys. Scr 2012, 86: 045004. 10.1088/0031-8949/86/04/045004
Pasqua A: Power-law and logarithmic entropy-corrected Ricci viscous dark energy and dynamics of scalar fields. Astrophys. Space Sci 2013, 346: 531. 10.1007/s10509-013-1464-8
Jamil M, Raza M, Debnath U: Statefinder parameter for varying G in three fluid system. Astrophys. Space Sci 2012, 337: 799–803. 10.1007/s10509-011-0896-2
Jamil M, Momeni D, Rashid MA: Notes on dark energy interacting with dark matter and unparticle in loop quantum cosmology. Eur. Phys. J. C 2011, 71: 1711.
Farooq MU, Jamil M, Debnath U: Dynamics of interacting phantom and quintessence dark energies. Astrophys. Space Sci 2011, 334: 243–248. 10.1007/s10509-011-0721-y
Sheykhi A, Jamil M: Interacting HDE and NADE in Brans-Dicke chameleon cosmology. Phys. Lett. B 2011, 694: 284–288. 10.1016/j.physletb.2010.10.019
Jamil M: Variable G Corrections to Statefinder Parameters of Dark Energy. Int. J. Theor. Phys 2010, 49: 2829–2840. 10.1007/s10773-010-0475-2
Bamba K, Geng C-Q, Lee C-C, Luo L-W: Equation of state for dark energy in f(T) gravity. J. Cosmol. Astropart. Phys 2011, 1101: 021.
Sheykhi A: Interacting agegraphic tachyon model of dark energy. Phys. Lett. B 2010, 682: 329–333. 10.1016/j.physletb.2009.11.034
Cataldo M, Mella P, Minning P, Saavedra J: Interacting cosmic fluids in power-law Friedmann Robertson Walker cosmological models. Phys. Lett. B 2008, 662: 314. 10.1016/j.physletb.2008.03.022
Sahni V, Saini TD, Starobinsky AA: Statefinder - a new geometrical diagnostic of dark energy. JETP Lett 2003, 77: 201–206. 10.1134/1.1574831
Zhang X: Holographic Ricci dark energy: current observational constraints, quintom feature, and the reconstruction of scalar-field dark energy. Phys. Rev. D 2009, 79: 103509.