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Dynamics of warm inflation with gauge fields in Bianchi type I universe model
Institution:1. Department of Prosthodontics, College of Dentistry, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia;2. Department of Oral and Maxillofacial Surgery and Diagnostic Sciences, College of Dentistry, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia;3. Dental Biomaterials Research Chair, Dental Health Department, College of Applied Medical Sciences, King Saud University, Riyadh, Saudi Arabia;4. Department of Periodontology, Stony Brook University, Stony Brook, NY, USA;5. Laboratory for Periodontal-, Implant-, Phototherapy (LA-PIP), School of Dental Medicine, Stony Brook University, Stony Brook, NY, USA;6. Department of Orthodontics, Eastman Institute for Oral Health, University of Rochester, NY, USA;1. Institute for Theoretical Physics, Karlsruhe Institute of Technology (KIT), 76128 Karlsruhe, Germany;2. Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz 71454, Iran;3. Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O. Box 55134-441, Maragha, Iran;1. Faculty of Economic &Management Sciences of Sousse, Cité Erriadh, Sousse, Tunisia;2. Department of Economics, Universidad de Santiago de Compostela, Spain;1. Departament of Chemistry, Universidade Federal de Viçosa, Av. P.H. Rolfs, S/N, Viçosa, MG, 36570-900, Brazil;2. Departament of Chemistry, ICEx, Universidade Federal de Minas Gerais, Av. Presidente Antônio Carlos, 6627, Campus Pampulha, Belo Horizonte, MG, 31270-901, Brazil;3. Departament of Forest Engineering, Universidade Federal de Viçosa, Av. P.H. Rolfs, S/N, Viçosa, MG, 36570-900, Brazil;4. Departament of Entomology, Universidade Federal de Viçosa, Av. P.H. Rolfs, S/N, Viçosa, MG, 36570-900, Brazil;1. Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz 71454, Iran;2. Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O. Box 55134-441, Maragha, Iran;3. Division of Human Support System, Faculty of Symbiotic Systems Science, Fukushima University, Fukushima 960-1296, Japan
Abstract:In this paper, we study the dynamics of warm inflation in which slow-roll inflation is driven by non-Abelian gauge fields. To this end, we use the geometry of locally rotationally symmetric Bianchi type I universe model. We construct dynamical equations, i.e., first model field equation, energy conservation equations and equation of motion under slow-roll approximation. In order to discuss inflationary perturbations, we evaluate parameters like scalar and tensor power spectra as well as scalar and tensor spectral indices. We also evaluate inflaton, directional Hubble parameter, slow-roll and perturbation parameters as well as tensor-scalar ratio as a function of inflaton during intermediate and logamediate inflationary eras. It is concluded that anisotropic inflationary universe model with non-Abelian gauge fields remains compatible with WMAP7.
Keywords:Non-Abelian gauge fields  Warm inflation  Slow-roll approximation
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