Loedeman, Jochem (2019) The Geometry of Attractors in Inflationary Cosmology. Bachelor's Thesis, Physics.
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Abstract
Recent developments in observational cosmology have led to the notion of ”cosmological attractors”, trajectories of inflationary cosmologies that seem to attract the dynamics from a large range of initial conditions. In this work, we aim to give a rigorous description of this behaviour, by reviewing the mathematics of non-dissipative and dissipative Hamiltonian systems. Then, we give an introduction to cosmology and inflation, to familiarize the reader with concepts needed in the remainder of the thesis, in which we discuss attractor behaviour in the Hamiltonian setting of inflationary cosmology. We discover that for flat universes, a remarkable simplification in the dynamics arises, that allows us to express them in terms of the field variable and its time derivative alone. Finally, we use the formalism of Hamiltonian systems to derive the conditions for the existence of a conserved measure on this ”effective” phase space.
| Item Type: | Thesis (Bachelor's Thesis) |
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| Supervisor name: | Seri, M. and Roest, D. |
| Degree programme: | Physics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 08 Jul 2019 |
| Last Modified: | 03 Oct 2019 11:03 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/19987 |
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