Inflation and Topological Phase Transition Driven by Exotic Smoothness
We will discuss a model which describes the cause of inflation by a topological transition. The guiding principle is the choice of an exotic smoothness structure for the space-time. Here we consider a space-time with topology S3×ℝ. In case of an exotic S3×ℝ, there is a change in the spatial topology...
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| Format: | Article |
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Wiley
2014-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/867460 |
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| author | Torsten Asselmeyer-Maluga Jerzy Król |
| author_facet | Torsten Asselmeyer-Maluga Jerzy Król |
| author_sort | Torsten Asselmeyer-Maluga |
| collection | DOAJ |
| description | We will discuss a model which describes the cause of inflation by a topological transition. The guiding principle is the choice of an exotic smoothness structure for the space-time. Here we consider a space-time with topology S3×ℝ. In case of an exotic S3×ℝ, there is a change in the spatial topology from a 3-sphere to a homology 3-sphere which can carry a hyperbolic structure. From the physical point of view, we will discuss the path integral for the Einstein-Hilbert action with respect to a decomposition of the space-time. The inclusion of the boundary terms produces fermionic contributions to the partition function. The expectation value of an area (with respect to some surface) shows an exponential increase; that is, we obtain inflationary behavior. We will calculate the amount of this increase to be a topological invariant. Then we will describe this transition by an effective model, the Starobinski or R2 model which is consistent with the current measurement of the Planck satellite. The spectral index and other observables are also calculated. |
| format | Article |
| id | doaj-art-1c5282ac5b7349cdbda355548899ce3e |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-1c5282ac5b7349cdbda355548899ce3e2025-02-03T05:43:59ZengWileyAdvances in High Energy Physics1687-73571687-73652014-01-01201410.1155/2014/867460867460Inflation and Topological Phase Transition Driven by Exotic SmoothnessTorsten Asselmeyer-Maluga0Jerzy Król1German Aerospace Center (DLR), 10178 Berlin, GermanyInstitute of Physics, University of Silesia, 40-007 Katowice, PolandWe will discuss a model which describes the cause of inflation by a topological transition. The guiding principle is the choice of an exotic smoothness structure for the space-time. Here we consider a space-time with topology S3×ℝ. In case of an exotic S3×ℝ, there is a change in the spatial topology from a 3-sphere to a homology 3-sphere which can carry a hyperbolic structure. From the physical point of view, we will discuss the path integral for the Einstein-Hilbert action with respect to a decomposition of the space-time. The inclusion of the boundary terms produces fermionic contributions to the partition function. The expectation value of an area (with respect to some surface) shows an exponential increase; that is, we obtain inflationary behavior. We will calculate the amount of this increase to be a topological invariant. Then we will describe this transition by an effective model, the Starobinski or R2 model which is consistent with the current measurement of the Planck satellite. The spectral index and other observables are also calculated.http://dx.doi.org/10.1155/2014/867460 |
| spellingShingle | Torsten Asselmeyer-Maluga Jerzy Król Inflation and Topological Phase Transition Driven by Exotic Smoothness Advances in High Energy Physics |
| title | Inflation and Topological Phase Transition Driven by Exotic Smoothness |
| title_full | Inflation and Topological Phase Transition Driven by Exotic Smoothness |
| title_fullStr | Inflation and Topological Phase Transition Driven by Exotic Smoothness |
| title_full_unstemmed | Inflation and Topological Phase Transition Driven by Exotic Smoothness |
| title_short | Inflation and Topological Phase Transition Driven by Exotic Smoothness |
| title_sort | inflation and topological phase transition driven by exotic smoothness |
| url | http://dx.doi.org/10.1155/2014/867460 |
| work_keys_str_mv | AT torstenasselmeyermaluga inflationandtopologicalphasetransitiondrivenbyexoticsmoothness AT jerzykrol inflationandtopologicalphasetransitiondrivenbyexoticsmoothness |