Exact polynomial eigenmodes for homogeneous spherical 3-manifolds

@article{Weeks2006ExactPE,
  title={Exact polynomial eigenmodes for homogeneous spherical 3-manifolds},
  author={J. Weeks},
  journal={Classical and Quantum Gravity},
  year={2006},
  volume={23},
  pages={6971-6988}
}
  • J. Weeks
  • Published 2006
  • Mathematics, Physics
  • Classical and Quantum Gravity
  • Observational data hint at a finite universe, with spherical manifolds such as the Poincare dodecahedral space tentatively providing the best fit. Simulating the physics of a model universe requires knowing the eigenmodes of the Laplace operator on the space. The present paper provides explicit polynomial eigenmodes for all globally homogeneous 3-manifolds: the Poincare dodecahedral space S3/I*, the binary octahedral space S3/O*, the binary tetrahedral space S3/T*, the prism manifolds S3/D*m… CONTINUE READING

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