Erçetin, Utku (2024) Computing CMB Anisotropies in Compact Hyperbolic Universes. Bachelor's Thesis, Physics.
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Abstract
The topology of the universe remains a fundamental question in cosmology, with compact hyperbolic 3-manifolds offering a compelling framework to explain anomalies in the cosmic microwave background (CMB) anisotropies. This thesis investigates the vibraional eigenmodes of such manifolds by solving the Laplace-Beltrami eigenvalue problem, (∆ + q2)Ψ = 0. Using the ‘method of ghosts,’ we attempt to numerically construct eigenfunctions on the universal cover H3, ensuring invariance under the isometry group Γ, which acts freely and discontinuously on H3 to yield the compact space M/Γ. Despite a meticulous implementation of the methodology outlined in [1], we were unable to replicate the reported numerical results for eigenvalues and their multiplicities. Our findings suggest the need for further refinement and validation of these methods to establish a robust computational framework for investigating compact hyperbolic manifolds.
| Item Type: | Thesis (Bachelor's Thesis) |
|---|---|
| Supervisor name: | Seri, M. and Meerburg, P.D. and Scholtens, R.W. |
| Degree programme: | Physics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 17 Dec 2024 10:37 |
| Last Modified: | 17 Dec 2024 10:37 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/34500 |
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