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Tachyon field in loop cosmology. (English) Zbl 1475.83150

Summary: The evolutionary pictures of tachyon field in modified loop cosmology have been investigated. We present the dynamical behavior of the tachyon field associated with an exponential potential and find that the pre-inflation dynamics are very similar in both modified loop cosmology and standard loop quantum cosmology. In addition, tachyonic inflation in modified loop cosmology models are discussed, and we find that the probability of inflation in modified loop cosmology is very closer to 1.

MSC:

83F05 Relativistic cosmology
83E05 Geometrodynamics and the holographic principle

References:

[1] Rovelli, C., Quantum Gravity (2004), Cambridge University Press: Cambridge University Press Cambridge · Zbl 0962.83507
[2] Thiemann, T., Modern Canonical Quantum General Relativity (2007), Cambridge University Press: Cambridge University Press Cambridge · Zbl 1129.83004
[3] Gambini, R.; Pullin, J., A First Course in Loop Quantum Gravity (2011), Oxford University Press: Oxford University Press New York · Zbl 1243.83001
[4] Bojowald, M., Loop quantum cosmology, Living Rev. Relativ., 11, 4 (2008) · Zbl 1316.83035
[5] Banerjee, K.; Calcagni, G.; Martin-Benito, M., Introduction to loop quantum cosmology, SIGMA, 8, Article 016 pp. (2018) · Zbl 1242.83032
[6] Ashtekar, A.; Singh, P., Loop quantum cosmology: a status report, Class. Quantum Gravity, 28, Article 213001 pp. (2011) · Zbl 1230.83003
[7] Calcagni, G., Classical and Quantum Cosmology (2017), Springer: Springer Berlin, Germany · Zbl 1359.83001
[8] Agullo, I.; Singh, P., Loop quantum cosmology, (Ashtekar, A.; Pullin, J., Loop Quantum Gravity: The First 30 Years (2017), World Scientific) · Zbl 1378.83001
[9] Bojowald, M., Absence of a singularity in loop quantum cosmology, Phys. Rev. Lett., 86, 5227 (2001)
[10] Ashtekar, A.; Pawlowski, T.; Singh, P., Quantum nature of the Big Bang: improved dynamics, Phys. Rev. D, 74, Article 084003 pp. (2006) · Zbl 1197.83047
[11] Ashtekar, A.; Pawlowshik, T.; Singh, P., Quantum nature of the big bang, Phys. Rev. Lett., 96, Article 141301 pp. (2006) · Zbl 1153.83417
[12] Singh, P.; Toporensky, A., Big crunch avoidance in k=1 semiclassical loop quantum cosmology, Phys. Rev. D, 69, Article 104008 pp. (2004)
[13] Vereshchagin, G. V., A qualitative approach to semi-classical loop quantum cosmology, J. Cosmol. Astropart. Phys., 0407, Article 013 pp. (2004)
[14] Date, G.; Hossain, G. M., Genericness of a big bounce in isotropic loop quantum cosmology, Phys. Rev. Lett., 94, Article 011302 pp. (2005)
[15] Singh, P., Are loop quantum cosmos never singular?, Class. Quantum Gravity, 26, Article 125005 pp. (2009) · Zbl 1170.83387
[16] Singh, P.; Vidotto, F., Exotic singularities and spatially curved loop quantum cosmology, Phys. Rev. D, 83, Article 064027 pp. (2011)
[17] Singh, P., Curvature invariants, geodesics, and the strength of singularities in Bianchi-I loop quantum cosmology, Phys. Rev. D, 85, Article 104011 pp. (2012)
[18] Bamba, K.; de Haro, Jaume; Odintsov, S. D., Future singularities and teleparallelism in loop quantum cosmology, J. Cosmol. Astropart. Phys., 1302, Article 008 pp. (2013)
[19] Joe, A.; Singh, P., Kantowski-Sachs spacetime in loop quantum cosmology: geometric scalars and the viability of quantization prescriptions, Class. Quantum Gravity, 32, Article 015009 pp. (2015) · Zbl 1309.83095
[20] Singh, P., Loop quantum cosmology and the fate of cosmological singularities, Bull. Astron. Soc. India, 42, 121 (2014)
[21] Singh, P.; Vandersloot, K.; Vereshchagin, G. V., Nonsingular bouncing universes in loop quantum cosmology, Phys. Rev. D, 74, Article 043510 pp. (2006)
[22] Corichi, A.; Karami, A., Measure problem in slow roll inflation and loop quantum cosmology, Phys. Rev. D, 83, Article 104006 pp. (2011)
[23] Ashtekar, A.; Sloan, D., Loop quantum cosmology and slow roll inflation, Phys. Lett. B, 694, 108 (2010)
[24] Ashtekar, A.; Sloan, D., Probability of inflation in loop quantum cosmology, Gen. Relativ. Gravit., 43, 3619 (2011) · Zbl 1269.83065
[25] Gupt, B.; Singh, P., A quantum gravitational inflationary scenario in Bianchi-I spacetime, Class. Quantum Gravity, 30, Article 145013 pp. (2014) · Zbl 1273.83184
[26] Linsefors, L.; Barrau, A., Duration of inflation and conditions at the bounce as a prediction of effective isotropic loop quantum cosmology, Phys. Rev. D, 97, Article 123509 pp. (2011)
[27] Chen, L.; Zhu, J. Y., Loop quantum cosmology: the horizon problem and the probability of inflation, Phys. Rev. D, 92, Article 084063 pp. (2015)
[28] Bedic, S.; Vereshchagin, G., Probability of inflation in loop quantum cosmology, Phys. Rev. D, 99, Article 043512 pp. (2019)
[29] Engle, J., Relating loop quantum cosmology to loop quantum gravity: symmetric sectors and embeddings, Class. Quantum Gravity, 24, 23, 5777 (2007) · Zbl 1130.83011
[30] Bojowald, M., Effective field theory in loop quantum cosmology, Universe, 5, 44 (2019)
[31] Li, B. F.; Singh, P.; Wang, A. Z., Qualitative dynamics and inflationary attractors in loop cosmology, Phys. Rev. D, 98, Article 066016 pp. (2018)
[32] Yang, J.; Ding, Y.; Ma, Y., Alternative quantization of the Hamiltonian in loop quantum cosmology II: including the Lorentz term, Phys. Lett. B, 682, 1 (2009)
[33] Assanioussi, M.; Dapor, A.; Liegener, K.; Pawlowski, T., Emergent de Sitter epoch of the quantum cosmos, Phys. Rev. Lett., 121, Article 081303 pp. (2018)
[34] García-Quismondo, Alejandro; Mena Marugan, G. A., The MMO prescription for the Dapor-Liegener model of loop quantum cosmology, Phys. Rev. D, 99, Article 083505 pp. (2019)
[35] Li, B. F.; Singh, P.; Wang, A. Z., Towards cosmological dynamics from loop quantum gravity, Phys. Rev. D, 97, Article 084029 pp. (2018)
[36] Saini, S.; Singh, P., Generic absence of strong singularities and geodesic completeness in modified loop quantum cosmologies, Class. Quantum Gravity, 36, Article 105014 pp. (2019) · Zbl 1475.83040
[37] Saini, S.; Singh, P., Von Neumann stability of modified loop quantum cosmologies, Class. Quantum Gravity, 36, Article 105010 pp. (2019) · Zbl 1475.83039
[38] Agullo, I., Primordial power spectrum from the Dapor Liegener model of loop quantum cosmology, Gen. Relativ. Gravit., 50, 91 (2018) · Zbl 1398.83131
[39] Li, B. F.; Singh, P.; Wang, A. Z., Genericness of pre-inflationary dynamics and probability of the desired slow-roll inflation in modified loop quantum cosmologies, Phys. Rev. D, 100, Article 063513 pp. (2019)
[40] Li, B. F.; Singh, P.; Wang, A. Z., Primordial power spectrum from the dressed metric approach in loop cosmologies
[41] Saini, S.; Singh, P., Generic absence of strong singularities and geodesic completeness in modified loop quantum cosmologies, Class. Quantum Gravity, 36, Article 105014 pp. (2019) · Zbl 1475.83040
[42] Meissner, K. A., Black-hole entropy in loop quantum gravity, Class. Quantum Gravity, 21, 5245 (2004) · Zbl 1062.83056
[43] Giesel, K.; Li, Bao-Fei; Singh, P., Towards a reduced phase space quantization in loop quantum cosmology with an inflationary potential
[44] Giesel, K.; Thiemann, T., Scalar material reference systems and loop quantum gravity, Class. Quantum Gravity, 32, Article 135015 pp. (2015); Giesel, K.; Thiemann, T., Algebraic quantum gravity (AQG). IV. Reduced phase space quantisation of loop quantum gravity, Class. Quantum Gravity, 27, Article 175009 pp. (2010) · Zbl 1201.83022
[45] Giesel, K.; Herzog, A., Gauge invariant canonical cosmological perturbation theory with geometrical clocks in extended phase-space: a review and applications, Int. J. Mod. Phys. D, 27, Article 183005 pp. (2018) · Zbl 1430.83005
[46] Giesel, K.; Herzog, A.; Singh, P., Gauge invariant variables for cosmological perturbation theory using geometrical clocks, Class. Quantum Gravity, 35, Article 155012 pp. (2018); Giesel, K.; Singh, P.; Winnekens, D., Dynamics of Dirac observables in canonical cosmological perturbation theory, Class. Quantum Gravity, 36, Article 085009 pp. (2019) · Zbl 1409.83234
[47] Sen, A., Tachyon matter, J. High Energy Phys., 07, Article 065 pp. (2002)
[48] Sen, A., Rolling tachyon, J. High Energy Phys., 04, Article 048 pp. (2002)
[49] Sen, A., Tachyon field in loop quantum cosmology, Phys. Rev. D, 74, Article 043501 pp. (2006)
[50] Xiong, H. H.; Zhu, J. Y., Tachyon field in loop quantum cosmology: inflation and evolution picture, Phys. Rev. D, 75, Article 084023 pp. (2007)
[51] Wu, P.; Zhang, S. N.; Yu, H., Inverse volume corrections to emergent tachyonic inflation in loop quantum cosmology, J. Cosmol. Astropart. Phys., 05, Article 007 pp. (2009)
[52] Huang, Fei; Zhu, Jian-Yang; Xiao, Kui, The dynamics of tachyon field with an inverse square potential in loop quantum cosmology, Int. J. Mod. Phys. D, 22, 06, Article 1350030 pp. (2013)
[53] Xiao, K.; He, X. K.; Huang, F.; Zhu, J. Y., Phenomenology analysis of duration inflation for tachyon field in loop quantum cosmology, Int. J. Mod. Phys. D, 23, 11, Article 1450087 pp. (2014)
[54] Xiao, K., Tachyonic inflation in loop quantum cosmology, Eur. Phys. J. C, 79, 12, 1019 (2019)
[55] Planck 2018 results. X. Constraints on inflation
[56] Ranken, E.; Singh, P., Nonsingular power-law and assisted inflation in loop quantum cosmology, Phys. Rev. D, 85, Article 104002 pp. (2012)
[57] Assanioussi, M.; Dapor, A.; Liegener, K.; Pawłowski, T., Emergent de Sitter epoch of the Loop Quantum Cosmos: a detailed analysis, Phys. Rev. D, 100, Article 084003 pp. (2019)
[58] Zhu, T.; Wang, A. Z.; Cleaver, G.; Sheng, Q., Universal features of quantum bounce in loop quantum cosmology, Phys. Lett. B, 773, 196 (2017)
[59] Zhu, T.; Wang, A. Z.; Cleaver, G., Pre-inflationary universe in loop quantum cosmology, Phys. Rev. D, 96, Article 083520 pp. (2017)
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