Deviation from Slow-Roll Regime in the EGB Inflationary Models with <i>r</i> ∼ <inline-formula><math display="inline"><semantics><mrow><msubsup><mi mathvariant="bold-italic">N</mi><mi mathvariant="bold-italic">e</mi><mrow><mo mathvariant="bold">−</mo><mn mathvariant="bold">1</mn></mrow></msubsup></mrow></semantics></math></inline-formula>
We consider Einstein–Gauss–Bonnet (EGB) inflationary models using the effective potential approach. We present evolution equations in the slow-roll regime using the effective potential and the tensor-to-scalar ratio. The choice of the effective potential is related to an expression of the spectral i...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-06-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/7/6/181 |
| _version_ | 1797531469684408320 |
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| author | Ekaterina O. Pozdeeva |
| author_facet | Ekaterina O. Pozdeeva |
| author_sort | Ekaterina O. Pozdeeva |
| collection | DOAJ |
| description | We consider Einstein–Gauss–Bonnet (EGB) inflationary models using the effective potential approach. We present evolution equations in the slow-roll regime using the effective potential and the tensor-to-scalar ratio. The choice of the effective potential is related to an expression of the spectral index in terms of e-folding number <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>N</mi><mi>e</mi></msub></semantics></math></inline-formula>. The satisfaction of the slow-roll regime is mostly related to the form of the tensor-to-scalar ratio <i>r</i>. The case of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>r</mi><mo>∼</mo><mn>1</mn><mo>/</mo><msubsup><mi>N</mi><mi>e</mi><mn>2</mn></msubsup></mrow></semantics></math></inline-formula> leads to a generalization of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>-attractors inflationary parameters to Einstein–Gauss–Bonnet gravity with exponential effective potential. Moreover, the cosmological attractors include models with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>r</mi><mo>∼</mo><mn>1</mn><mo>/</mo><msub><mi>N</mi><mi>e</mi></msub></mrow></semantics></math></inline-formula>. And we check the satisfaction of the slow-roll regime during inflation for models with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>r</mi><mo>∼</mo><mn>1</mn><mo>/</mo><msub><mi>N</mi><mi>e</mi></msub></mrow></semantics></math></inline-formula>. |
| first_indexed | 2024-03-10T10:44:15Z |
| format | Article |
| id | doaj.art-c7c67b1f3e2c4408854c355615f06a9a |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-10T10:44:15Z |
| publishDate | 2021-06-01 |
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| series | Universe |
| spelling | doaj.art-c7c67b1f3e2c4408854c355615f06a9a2023-11-21T22:45:29ZengMDPI AGUniverse2218-19972021-06-017618110.3390/universe7060181Deviation from Slow-Roll Regime in the EGB Inflationary Models with <i>r</i> ∼ <inline-formula><math display="inline"><semantics><mrow><msubsup><mi mathvariant="bold-italic">N</mi><mi mathvariant="bold-italic">e</mi><mrow><mo mathvariant="bold">−</mo><mn mathvariant="bold">1</mn></mrow></msubsup></mrow></semantics></math></inline-formula>Ekaterina O. Pozdeeva0Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, 119991 Moscow, RussiaWe consider Einstein–Gauss–Bonnet (EGB) inflationary models using the effective potential approach. We present evolution equations in the slow-roll regime using the effective potential and the tensor-to-scalar ratio. The choice of the effective potential is related to an expression of the spectral index in terms of e-folding number <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>N</mi><mi>e</mi></msub></semantics></math></inline-formula>. The satisfaction of the slow-roll regime is mostly related to the form of the tensor-to-scalar ratio <i>r</i>. The case of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>r</mi><mo>∼</mo><mn>1</mn><mo>/</mo><msubsup><mi>N</mi><mi>e</mi><mn>2</mn></msubsup></mrow></semantics></math></inline-formula> leads to a generalization of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>-attractors inflationary parameters to Einstein–Gauss–Bonnet gravity with exponential effective potential. Moreover, the cosmological attractors include models with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>r</mi><mo>∼</mo><mn>1</mn><mo>/</mo><msub><mi>N</mi><mi>e</mi></msub></mrow></semantics></math></inline-formula>. And we check the satisfaction of the slow-roll regime during inflation for models with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>r</mi><mo>∼</mo><mn>1</mn><mo>/</mo><msub><mi>N</mi><mi>e</mi></msub></mrow></semantics></math></inline-formula>.https://www.mdpi.com/2218-1997/7/6/181Einstein–Gauss–Bonnet gravityslow-roll regimeinflation |
| spellingShingle | Ekaterina O. Pozdeeva Deviation from Slow-Roll Regime in the EGB Inflationary Models with <i>r</i> ∼ <inline-formula><math display="inline"><semantics><mrow><msubsup><mi mathvariant="bold-italic">N</mi><mi mathvariant="bold-italic">e</mi><mrow><mo mathvariant="bold">−</mo><mn mathvariant="bold">1</mn></mrow></msubsup></mrow></semantics></math></inline-formula> Universe Einstein–Gauss–Bonnet gravity slow-roll regime inflation |
| title | Deviation from Slow-Roll Regime in the EGB Inflationary Models with <i>r</i> ∼ <inline-formula><math display="inline"><semantics><mrow><msubsup><mi mathvariant="bold-italic">N</mi><mi mathvariant="bold-italic">e</mi><mrow><mo mathvariant="bold">−</mo><mn mathvariant="bold">1</mn></mrow></msubsup></mrow></semantics></math></inline-formula> |
| title_full | Deviation from Slow-Roll Regime in the EGB Inflationary Models with <i>r</i> ∼ <inline-formula><math display="inline"><semantics><mrow><msubsup><mi mathvariant="bold-italic">N</mi><mi mathvariant="bold-italic">e</mi><mrow><mo mathvariant="bold">−</mo><mn mathvariant="bold">1</mn></mrow></msubsup></mrow></semantics></math></inline-formula> |
| title_fullStr | Deviation from Slow-Roll Regime in the EGB Inflationary Models with <i>r</i> ∼ <inline-formula><math display="inline"><semantics><mrow><msubsup><mi mathvariant="bold-italic">N</mi><mi mathvariant="bold-italic">e</mi><mrow><mo mathvariant="bold">−</mo><mn mathvariant="bold">1</mn></mrow></msubsup></mrow></semantics></math></inline-formula> |
| title_full_unstemmed | Deviation from Slow-Roll Regime in the EGB Inflationary Models with <i>r</i> ∼ <inline-formula><math display="inline"><semantics><mrow><msubsup><mi mathvariant="bold-italic">N</mi><mi mathvariant="bold-italic">e</mi><mrow><mo mathvariant="bold">−</mo><mn mathvariant="bold">1</mn></mrow></msubsup></mrow></semantics></math></inline-formula> |
| title_short | Deviation from Slow-Roll Regime in the EGB Inflationary Models with <i>r</i> ∼ <inline-formula><math display="inline"><semantics><mrow><msubsup><mi mathvariant="bold-italic">N</mi><mi mathvariant="bold-italic">e</mi><mrow><mo mathvariant="bold">−</mo><mn mathvariant="bold">1</mn></mrow></msubsup></mrow></semantics></math></inline-formula> |
| title_sort | deviation from slow roll regime in the egb inflationary models with i r i ∼ inline formula math display inline semantics mrow msubsup mi mathvariant bold italic n mi mi mathvariant bold italic e mi mrow mo mathvariant bold mo mn mathvariant bold 1 mn mrow msubsup mrow semantics math inline formula |
| topic | Einstein–Gauss–Bonnet gravity slow-roll regime inflation |
| url | https://www.mdpi.com/2218-1997/7/6/181 |
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