Beta-function formalism for k-essence constant-roll inflation
| Autor: | A. Mohammadi, Khaled Saaidi, T. Golanbari |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Physics
Spectral index 010308 nuclear & particles physics Differential equation FOS: Physical sciences Astronomy and Astrophysics General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology Formalism (philosophy of mathematics) Tachyon Space and Planetary Science 0103 physical sciences 010303 astronomy & astrophysics Mathematical physics |
| Popis: | The beta function formalism is being used to study the constant-roll inflation in the k-essence model. Assuming the second slow-roll parameter as a constant leads to a first-order differential equation for $\beta$-function which is much easier to solve and find a solution than the second (non-linear) order equation that we have in corresponding standard constant-roll inflation. Many cosmological models are known as a subclass of k-essence, so we will try to consider the model as general as possible. It is determined that the second slow-roll parameter should be positive to produce a small value for the first slow-roll parameter. The scenario is considered for three well-known cosmological models, and it is clarified that for the non-canonical and tachyon model, the scalar spectral index never reaches the observational range, however for the DBI model, we could arrive at a result consistent with observational data. Comment: 19 pages, 11 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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