×

Dynamics of generalized tachyon field in teleparallel gravity. (English) Zbl 1433.83027

Summary: We study dynamics of generalized tachyon scalar field in the framework of teleparallel gravity. This model is an extension of tachyonic teleparallel dark energy model which has been proposed in our paper [“Tachyonic teleparallel dark energy”, Astrophys. Space Sci. 342, No. 1, 229–235 (2012; doi:10.1007/s10509-012-1140-4)]. In contrast with tachyonic teleparallel dark energy model that has no scaling attractors, here we find some scaling attractors which means that the cosmological coincidence problem can be alleviated. Scaling attractors are presented for both interacting and noninteracting dark energy and dark matter cases.

MSC:

83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
83F05 Relativistic cosmology
83C10 Equations of motion in general relativity and gravitational theory
PDFBibTeX XMLCite
Full Text: DOI arXiv

References:

[1] Weinberg, S., The cosmological constant problem, Reviews of Modern Physics, 61, 1, 1-23 (1989) · Zbl 1129.83361 · doi:10.1103/RevModPhys.61.1
[2] Carroll, S. M., The cosmological constant, Living Reviews in Relativity, 4 (2001) · Zbl 1023.83022 · doi:10.12942/lrr-2001-1
[3] Yang, R.-J.; Zhang, S. N., The age problem in the ΛCDM model, Monthly Notices of the Royal Astronomical Society, 407, 3, 1835-1841 (2010) · doi:10.1111/j.1365-2966.2010.17020.x
[4] Cai, Y.-F.; Saridakis, E. N.; Setare, M. R.; Xia, J.-Q., Quintom cosmology: theoretical implications and observations, Physics Reports, 493, 1, 1-60 (2010) · doi:10.1016/j.physrep.2010.04.001
[5] Bamba, K.; Capozziello, S.; Nojiri, S.; Odintsov, S. D., Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests, Astrophysics and Space Science, 342, 1, 155-228 (2012) · Zbl 1314.83037 · doi:10.1007/s10509-012-1181-8
[6] Sen, A., Remarks on tachyon driven cosmology, Physica Scripta, 2005, 117, article 70 (2005) · doi:10.1238/Physica.Topical.117a00070
[7] Gibbons, G. W., Cosmological evolution of the rolling tachyon, Physics Letters B, 537, 1-2, 1-4 (2002) · Zbl 0995.83084 · doi:10.1016/s0370-2693(02)01881-6
[8] Garousi, M. R., Tachyon couplings on non-BPS D-branes and Dirac-Born-Infeld action, Nuclear Physics B, 584, 1-2, 284-299 (2000) · Zbl 0984.81123 · doi:10.1016/s0550-3213(00)00361-8
[9] Sen, A., Field theory of tachyon matter, Modern Physics Letters A, 17, 27, 1797-1804 (2002) · Zbl 1083.81578 · doi:10.1142/s0217732302008071
[10] Unzicker, A.; Case, T., Translation of Einstein’s attempt of a unified field theory with teleparallelism
[11] Hayashi, K.; Shirafuji, T., New general relativity, Physical Review D, 19, 3524-3553 (1979) · Zbl 1267.83090 · doi:10.1103/PhysRevD.19.3524
[12] Aldrovandi, R.; Pereira, J. G., Teleparallel Gravity: An Introduction (2013), Dordrecht, Netherlands: Springer, Dordrecht, Netherlands · Zbl 1259.83002 · doi:10.1007/978-94-007-5143-9
[13] Maluf, J. W., The teleparallel equivalent of general relativity, Annalen der Physik, 525, 5, 339-357 (2013) · doi:10.1002/andp.201200272
[14] Ferraro, R.; Fiorini, F., Modified teleparallel gravity: inflation without an inflaton, Physical Review D: Particles, Fields, Gravitation, and Cosmology, 75, 8 (2007) · doi:10.1103/physrevd.75.084031
[15] Bengochea, G. R.; Ferraro, R., Dark torsion as the cosmic speed-up, Physical Review D: Particles, Fields, Gravitation, and Cosmology, 79 (2009) · doi:10.1103/PhysRevD.79.124019
[16] Linder, E. V., Einstein’s other gravity and the acceleration of the Universe, Physical Review D, 81 (2010) · doi:10.1103/physrevd.81.127301
[17] de Felice, A.; Tsujikawa, S., f (R) theories, Living Reviews in Relativity, 13, 3, 1-161 (2010) · Zbl 1215.83005
[18] Nojiri, S.; Odintsov, S. D., Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models, Physics Reports, 505, 2-4, 59-144 (2011) · doi:10.1016/j.physrep.2011.04.001
[19] Spokoiny, B. L., Inflation and generation of perturbations in broken-symmetric theory of gravity, Physics Letters B, 147, 1-3, 39-43 (1984) · doi:10.1016/0370-2693(84)90587-2
[20] Perrotta, F.; Baccigalupi, C.; Matarrese, S., Extended quintessence, Physical Review D, 61 (1999) · doi:10.1103/physrevd.61.023507
[21] Faraoni, V., Inflation and quintessence with nonminimal coupling, Physical Review D, 62, 2 (2000) · doi:10.1103/physrevd.62.023504
[22] Elizalde, E.; Nojiri, S.; Odintsov, S. D., Late-time cosmology in a (phantom) scalar-tensor theory: dark energy and the cosmic speed-up, Physical Review D, 70 (2004)
[23] Hrycyna, O.; Szydlowski, M., Non-minimally coupled scalar field cosmology on the phase plane, Journal of Cosmology and Astroparticle Physics, 2009, article 026 (2009) · doi:10.1088/1475-7516/2009/04/026
[24] Hrycyna, O.; Szydlowski, M., Extended Quintessence with non-minimally coupled phantom scalar field, Physical Review D: Particles, Fields, Gravitation, and Cosmology, 76 (2007) · doi:10.1103/PhysRevD.76.123510
[25] de Souza, R. C.; Kremer, G. M., Constraining non-minimally coupled tachyon fields by the Noether symmetry, Classical and Quantum Gravity, 26, 13 (2009) · Zbl 1171.83318 · doi:10.1088/0264-9381/26/13/135008
[26] Sen, A. A.; Devi, N. C., Cosmology with non-minimally coupled \(k\)-field, General Relativity and Gravitation, 42, 4, 821-838 (2010) · Zbl 1187.83088 · doi:10.1007/s10714-009-0882-y
[27] Geng, C.-Q.; Lee, C.-C.; Saridakis, E. N.; Wu, Y.-P., ‘Teleparallel’ dark energy, Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 704, 5, 384-387 (2011) · doi:10.1016/j.physletb.2011.09.082
[28] Geng, C.-Q.; Lee, C.-C.; Saridakis, E. N., Observational constraints on teleparallel dark energy, Journal of Cosmology and Astroparticle Physics, 2012, 1, article 002 (2012) · doi:10.1088/1475-7516/2012/01/002
[29] Xu, C.; Saridakis, E. N.; Leon, G., Phase-space analysis of teleparallel dark energy, Journal of Cosmology and Astroparticle Physics, 2012, 7, article 5 (2012) · doi:10.1088/1475-7516/2012/07/005
[30] Wei, H., Dynamics of teleparallel dark energy, Physics Letters B, 712, 4-5, 430-436 (2012) · doi:10.1016/j.physletb.2012.05.006
[31] Otalora, G., Scaling attractors in interacting teleparallel dark energy, Journal of Cosmology and Astroparticle Physics, 2013, 7, article 44 (2013) · doi:10.1088/1475-7516/2013/07/044
[32] Banijamali, A.; Fazlpour, B., Tachyonic teleparallel dark energy, Astrophysics and Space Science, 342, 1, 229-235 (2012) · doi:10.1007/s10509-012-1140-4
[33] Otalora, G., Cosmological dynamics of tachyonic teleparallel dark energy, Physical Review D, 88, 6 (2013) · doi:10.1103/PhysRevD.88.063505
[34] Pereira, S. H.; Pinho, S. S. A.; da Silva, J. M. H., Some remarks on the attractor behaviour in ELKO cosmology, Journal of Cosmology and Astroparticle Physics, 2014, article 020 (2014) · doi:10.1088/1475-7516/2014/08/020
[35] Bertolami, O.; Gil Pedro, F.; Le Delliou, M., Dark energy-dark matter interaction and putative violation of the equivalence principle from the Abell cluster A586, Physics Letters B, 654, 5-6, 165-169 (2007) · doi:10.1016/j.physletb.2007.08.046
[36] Bertolami, O.; Gil Pedro, F.; le Delliou, M., The Abell cluster A586 and the detection of violation of the equivalence principle, General Relativity and Gravitation, 41, 12, 2839-2846 (2009) · Zbl 1181.83212 · doi:10.1007/s10714-009-0810-1
[37] Le Delliou, M.; Bertolami, O.; Gil Pedro, F., Dark energy-dark matter interaction from the abell cluster A586 and violation of the equivalence principle, AIP Conference Proceedings, 957, 421 (2007) · doi:10.1063/1.2823818
[38] Bertolami, O.; Pedro, F. G.; Delliou, M. L., Dark energy-dark matter interaction from the abell cluster A586, European Astronomical Society Publications Series, 30, 161-167 (2008) · doi:10.1051/eas:0830019
[39] Abdalla, E.; Abramo, L. R.; Sodre, L.; Wang, B., Signature of the interaction between dark energy and dark matter in galaxy clusters, Physics Letters B, 673, 107-110 (2009) · doi:10.1016/j.physletb.2009.02.008
[40] Abdalla, E.; Abramo, L. R.; de Souza, J. C. C., Signature of the interaction between dark energy and dark matter in observations, Physical Review D, 82 (2010) · doi:10.1103/physrevd.82.023508
[41] Banerjee, N.; Das, S., Acceleration of the universe with a simple trigonometric potential, General Relativity and Gravitation, 37, 10, 1695-1703 (2005) · Zbl 1084.83035 · doi:10.1007/s10714-005-0152-6
[42] Das, S.; Banerjee, N., An interacting scalar field and the recent cosmic acceleration, General Relativity and Gravitation, 38, 5, 785-794 (2006) · Zbl 1092.83026 · doi:10.1007/s10714-006-0296-z
[43] Das, S.; Banerjee, N., Brans-Dicke scalar field as a chameleon, Physical Review D, 78 (2008) · doi:10.1103/physrevd.78.043512
[44] Unnikrishnan, S., Can cosmological observations uniquely determine the nature of dark energy?, Physical Review D, 78 (2008) · doi:10.1103/physrevd.78.063007
[45] R. Yang; J. Qi, Dynamics of generalized tachyon field, The European Physical Journal C, 72, article 2095 (2012) · doi:10.1140/epjc/s10052-012-2095-x
[46] Quiros, I.; Gonzalez, T.; Gonzalez, D.; Napoles, Y.; García-Salcedo, R.; Moreno, C., A study of tachyon dynamics for broad classes of potentials, Classical and Quantum Gravity, 27, 21 (2010) · Zbl 1204.83113 · doi:10.1088/0264-9381/27/21/215021
[47] Copeland, E. J.; Liddle, A. R.; Wands, D., Exponential potentials and cosmological scaling solutions, Physical Review D, 57, 8, 4686-4690 (1998) · doi:10.1103/physrevd.57.4686
[48] Amendola, L., Scaling solutions in general nonminimal coupling theories, Physical Review D, 60 (1999) · doi:10.1103/physrevd.60.043501
[49] Guo, Z. K.; Cai, R. G.; Zhang, Y. Z., Cosmological evolution of interacting phantom energy with dark matter, Journal of Cosmology and Astroparticle Physics, 2005, article 002 (2005) · doi:10.1088/1475-7516/2005/05/002
[50] Wei, H., Cosmological evolution of quintessence and phantom with a new type of interaction in dark sector, Nuclear Physics B, 845, 3, 381-392 (2011) · Zbl 1207.83087 · doi:10.1016/j.nuclphysb.2010.12.010
[51] Chimento, L. P.; Jakubi, A. S.; Pavón, D.; Zimdahl, W., Interacting quintessence solution to the coincidence problem, Physical Review D, 67, 8 (2003) · doi:10.1103/physrevd.67.083513
[52] Copeland, E. J.; Sami, M.; Tsujikawa, S., Dynamics of dark energy, International Journal of Modern Physics, D: Gravitation, Astrophysics, Cosmology, 15, 11, 1753-1935 (2006) · Zbl 1203.83061 · doi:10.1142/s021827180600942x
[53] Frieman, J. A.; Turner, M. S.; Huterer, D., Dark energy and the accelerating universe, Annual Review of Astronomy and Astrophysics, 46, 385-432 (2008) · doi:10.1146/annurev.astro.46.060407.145243
[54] Tsujikawa, S., Dark energy: investigation and modeling, A Challenge for Modern Cosmology. A Challenge for Modern Cosmology, Astrophysics and Space Science Library, 370, 331-402 (2011), Dordrecht, Netherlands: Springer, Dordrecht, Netherlands · Zbl 1213.83011 · doi:10.1007/978-90-481-8685-3_8
[55] Skugoreva, M.; Saridakis, E.; Toporensky, A., Dynamical features of scalar-torsion theories
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.