Inflation driven by non-linear electrodynamics
Abstract We investigate the inflation driven by a nonlinear electromagnetic field based on an NLED lagrangian density $${\mathscr {L}}_{\text {nled}} = - {F} f \left( {F} \right) $$ L nled = - F f F , where $$f \left( {F}\right) $$ f F is a general function depending on F. We first formulate an f-NL...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-05-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11481-3 |
| _version_ | 1797789577640935424 |
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| author | H. B. Benaoum Genly Leon A. Övgün H. Quevedo |
| author_facet | H. B. Benaoum Genly Leon A. Övgün H. Quevedo |
| author_sort | H. B. Benaoum |
| collection | DOAJ |
| description | Abstract We investigate the inflation driven by a nonlinear electromagnetic field based on an NLED lagrangian density $${\mathscr {L}}_{\text {nled}} = - {F} f \left( {F} \right) $$ L nled = - F f F , where $$f \left( {F}\right) $$ f F is a general function depending on F. We first formulate an f-NLED cosmological model with a more general function $$f \left( {F}\right) $$ f F and show that all NLED models can be expressed in this framework; then, we investigate in detail two interesting examples of the function $$f \left( {F}\right) $$ f F . We present our phenomenological model based on a new Lagrangian for NLED. Solutions to the field equations with the physical properties of the cosmological parameters are obtained. We show that the early Universe had no Big-Bang singularity, which accelerated in the past. We also investigate the qualitative implications of NLED by studying the inflationary parameters, like the slow-roll parameters, spectral index $$n_s$$ n s , and tensor-to-scalar ratio r, and compare our results with observational data. Detailed phase-space analysis of our NLED cosmological model is performed with and without matter source. As a first approach, we consider the motion of a particle of unit mass in an effective potential. Our systems correspond to fast-slow systems for physical values of the electromagnetic field and the energy densities at the end of inflation. We analyze a complementary system using Hubble-normalized variables to investigate the cosmological evolution before the matter-dominated Universe. |
| first_indexed | 2024-03-13T01:52:39Z |
| format | Article |
| id | doaj.art-9341b50f57a6448f8df00b5e805e9862 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-03-13T01:52:39Z |
| publishDate | 2023-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-9341b50f57a6448f8df00b5e805e98622023-07-02T11:25:18ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-05-0183512110.1140/epjc/s10052-023-11481-3Inflation driven by non-linear electrodynamicsH. B. Benaoum0Genly Leon1A. Övgün2H. Quevedo3Department of Applied Physics and Astronomy, University of SharjahDepartamento de Matemáticas, Universidad Católica del NortePhysics Department, Eastern Mediterranean UniversityInstituto de Ciencias Nucleares, Universidad Nacional Autónoma de MéxicoAbstract We investigate the inflation driven by a nonlinear electromagnetic field based on an NLED lagrangian density $${\mathscr {L}}_{\text {nled}} = - {F} f \left( {F} \right) $$ L nled = - F f F , where $$f \left( {F}\right) $$ f F is a general function depending on F. We first formulate an f-NLED cosmological model with a more general function $$f \left( {F}\right) $$ f F and show that all NLED models can be expressed in this framework; then, we investigate in detail two interesting examples of the function $$f \left( {F}\right) $$ f F . We present our phenomenological model based on a new Lagrangian for NLED. Solutions to the field equations with the physical properties of the cosmological parameters are obtained. We show that the early Universe had no Big-Bang singularity, which accelerated in the past. We also investigate the qualitative implications of NLED by studying the inflationary parameters, like the slow-roll parameters, spectral index $$n_s$$ n s , and tensor-to-scalar ratio r, and compare our results with observational data. Detailed phase-space analysis of our NLED cosmological model is performed with and without matter source. As a first approach, we consider the motion of a particle of unit mass in an effective potential. Our systems correspond to fast-slow systems for physical values of the electromagnetic field and the energy densities at the end of inflation. We analyze a complementary system using Hubble-normalized variables to investigate the cosmological evolution before the matter-dominated Universe.https://doi.org/10.1140/epjc/s10052-023-11481-3 |
| spellingShingle | H. B. Benaoum Genly Leon A. Övgün H. Quevedo Inflation driven by non-linear electrodynamics European Physical Journal C: Particles and Fields |
| title | Inflation driven by non-linear electrodynamics |
| title_full | Inflation driven by non-linear electrodynamics |
| title_fullStr | Inflation driven by non-linear electrodynamics |
| title_full_unstemmed | Inflation driven by non-linear electrodynamics |
| title_short | Inflation driven by non-linear electrodynamics |
| title_sort | inflation driven by non linear electrodynamics |
| url | https://doi.org/10.1140/epjc/s10052-023-11481-3 |
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