Harmonic polynomials for expanding the fluctuations of the Cosmic Microwave Background: The Poincare and the 3-sphere model
Peter Kramer
Abstract
Fluctuations of the Cosmic Microwave Background CMB are observed by the WMAP. When expanded into the harmonic eigenmodes of the space part of a cosmological model, they provide insight into the large-scale topology of space. All harmonic polynomials on the multiply connected dodecahedral Poincare space are constructed. Strong and specific selection rules are given by comparing the polynomials to those on the 3-sphere, its simply connected cover.
Create a lesson
Related papers
Spin-network states for the Bianchi I and IX cosmological models from quantum constrained symmetries
Matteo Bruno, Giovanni Montani, Edoardo Maria Panno
Entropy, area, and the choice of regulator during gravitational collapse
Jana N. Guenther, Christian Hoelbling, Sophie Mutzel et al.
On the Extended Kerr-Newman-Bertotti-Robinson Spacetime: Two Black Holes and a Naked Singularity in Bertotti-Robinson Universe
Yu-Sen Zhou, Wen-Tao Fu, Li-Ming Cao et al.
The return of Palatini inflationary attractors: Universal mapping of observables
Christian Dioguardi, Francesco Gianesello, Antonio Racioppi
Gravity from Invariant Weyl-Integrable space-time (IWIST)
José Edgar Madriz Aguilar, A. Bernal, M. Montes et al.
Quasinormal modes of Schwarzschild--AdS black holes with a near-horizon reflective surface
Libo Xie, Liang-Bi Wu, Yu-Sen Zhou et al.