On $R+\alpha R^2$ Loop Quantum Cosmology

التفاصيل البيبلوغرافية
العنوان: On $R+\alpha R^2$ Loop Quantum Cosmology
المؤلفون: Amorós, J., de Haro, J., Odintsov, S. D.
المصدر: Phys. Rev. D 89, 104010 (2014)
سنة النشر: 2014
المجموعة: General Relativity and Quantum Cosmology
مصطلحات موضوعية: General Relativity and Quantum Cosmology
الوصف: Working in Einstein frame we introduce, in order to avoid singularities, holonomy corrections to the $f(R)=R+\alpha R^2$ model. We perform a detailed analytical and numerical study when holonomy corrections are taken into account in both Jordan and Einstein frames obtaining, in Jordan frame, a dynamics which differs qualitatively, at early times, from the one of the original model. More precisely, when holonomy corrections are taken into account the universe is not singular, starting at early times in the contracting phase and bouncing to enter in the expanding one where, as in the original model, it inflates. This dynamics is completely different from the one obtained in the original $R+\alpha R^2$ model, where the universe is singular at early times and never bounces. Moreover, we show that these holonomy corrections may lead to better predictions for the inflationary phase as compared with current observations.
Comment: 22 pages, 5 figures. Version accepted for publication in Physical Review D
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevD.89.104010
URL الوصول: http://arxiv.org/abs/1402.3071
رقم الأكسشن: edsarx.1402.3071
قاعدة البيانات: arXiv